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Quantum physical phenomenon
semiconductor. The name emphasizes the fact that weak localization is a precursor of Anderson localization, which occurs at strong disorder. The effect is
Weak_localization
Absence of diffusion waves in disordered media
distinguished from weak localization, which is the precursor effect of Anderson localization (see below), and from Mott localization, named after Sir Nevill
Anderson_localization
Topics referred to by the same term
Look up localization, L10n, or localize in Wiktionary, the free dictionary. Localization or localisation may refer to: Localization of function, locating
Localization
equivalences. Bousfield localization is named after Aldridge Bousfield, who first introduced this technique in the context of localization of topological spaces
Bousfield_localization
the localization of the category is unique up to unique isomorphism of categories, provided that it exists. One construction of the localization is done
Localization_of_a_category
Scattering of a radiation wave as it travels through a complex medium
the weak localization phenomenon for electrons in disordered semi-conductors and often seen as the precursor to Anderson (or strong) localization of light
Coherent_backscattering
Prize awarded by the International Centre for Theoretical Physics
strong interactions." James Bjorken 2005 Patrick A. Lee "his work on weak localization and interaction effects, is being recognized for his pioneering contributions
Dirac_Medal_(ICTP)
Stable type of wave in physics
waves. X-waves possess several remarkable properties: Weak Localization: They are weakly localized solutions of the wave equation, meaning they are extended
X-wave
Solid metallic material with disordered atomic-scale structure
interference effects of the electrons with each other in what is called "weak localization effects". In very strongly disordered metals, impurities in the atomic
Amorphous_metal
Reflection which reverses the direction of a wave, particle, or signal
for visible light most typically in suspensions like milk. Due to weak localization, enhanced multiple scattering is observed in back direction. The Back
Backscatter
Laser whose optical feedback occurs from scattering
statistics or not. Recent studies[citation needed] show that these weak localization processes are not the governing phenomena for the onset of random
Random_laser
Concept in quantum physics
Rajendra P.; Dahal, Bishnu; Forbes, Andrew; Bhattarai, Niraj (2019). "Weak localization and small anomalous Hall conductivity in ferromagnetic Weyl semimetal
Weyl_semimetal
Phenomenon in mesoscopic physics
\textstyle l_{m}} . UCF is more profound when electrical transport is in weak localization regime. l ϕ < l c {\displaystyle \textstyle l_{\phi }<l_{c}} where
Universal conductance fluctuations
Universal_conductance_fluctuations
Physics of many interacting particles
As an example, one approach to compute quantum coherence effects (weak localization, conductance fluctuations) in the conductance of an electronic system
Statistical_mechanics
a localization of an ∞-category is an ∞-category obtained by inverting some maps. An ∞-category is a presentable ∞-category if it is a localization of
Localization_of_an_∞-category
Range of physical processes in physics
is multiply scattered by a random medium, is usually attributed to weak localization. Not all single scattering is random, however. A well-controlled laser
Scattering
Subdiscipline of condensed matter physics
Spin–orbit interaction – Relativistic interaction in quantum physics Weak localization – Quantum physical phenomenon Muller, M.; Katsov, K.; Schick, M. (November
Mesoscopic_physics
Soviet theoretical physicist
electrons, prediction of the circular photogalvanic effect, and theory of weak localization in noncentrosymmetric structures. His three monographs reflect the
Gregory_Pikus
Academic conference
phonon propagation in solids and liquid helium, and the observation of weak localization in two-dimensional systems." Pierre C. Hohenberg "For his seminal
International Conference on Low Temperature Physics
International_Conference_on_Low_Temperature_Physics
Embedding of categories into functor categories
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Yoneda_lemma
Mathematical category with weak equivalences, fibrations and cofibrations
maps to become weak equivalences in a new model category structure on the same underlying category is known as Bousfield localization. For example, the
Model_category
Methods to make single-atom-thick carbon sheets
(so-called Dirac cone structure) was first visualized in this material. Weak anti-localization is observed in this material, but not in exfoliated graphene produced
Graphene production techniques
Graphene_production_techniques
Mathematical category
Topoi behave much like the category of sets and possess a notion of localization. The Grothendieck topoi find applications in algebraic geometry, and
Topos
Relationship between two functors abstracting many common constructions
relationship that two functors may exhibit, intuitively corresponding to a weak form of equivalence between two related categories. Two functors that stand
Adjoint_functors
Models for electric current flow
mobilities. In disordered solids, disordered potentials result in weak localization effects (traps), which reduce the mean free path, and hence the mobility
Charge_transport_mechanisms
predicted paraconductivity, made essential contributions to the theory of weak localization, as well as developed the concept of the Ehrenfest time and its effect
List_of_Russian_Americans
In mathematics, invertible homomorphism
trichotomous, a partial order, total order, well-order, strict weak order, total preorder (weak order), an equivalence relation, or a relation with any other
Isomorphism
Mapping between categories
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Functor
Central object of study in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Natural_transformation
Phenomenon of isolated many-body quantum systems not reaching thermal equilibrium
While localization for single particle systems was demonstrated already in Anderson's original paper (coming to be known as Anderson localization), the
Many-body_localization
Israeli-Russian physicist (1939–1994)
governs the kinetic behavior of electrons in conductors with weak disorder (weak localization regime), and discovered that electrical conductivity acquires
Arkady_Aronov
Map (arrow) between two objects of a category
of being an injection is stronger than that of being a monomorphism, but weaker than that of being a split monomorphism. Dually to monomorphisms, a morphism
Morphism
Topics referred to by the same term
Dutch-language newspaper Hikami-Larkin-Nagaoka equation, describing weak localization in low-temperature physics Horizon League Network, a collegiate athletic
HLN
General theory of mathematical structures
single object; these are essentially monoidal categories. Bicategories are a weaker notion of 2-dimensional categories in which the composition of morphisms
Category_theory
Computer technology related to computer vision and image processing
features like skin color and distance between eyes can be found. For object localization, true positive is often measured by the thresholded intersection over
Object_detection
Mathematical object that generalizes the standard notions of sets and functions
{\displaystyle W} of morphisms in C {\displaystyle {\mathcal {C}}} , the localization C [ W − 1 ] {\displaystyle {\mathcal {C}}[W^{-1}]} turns the morphisms
Category_(mathematics)
Computerized information extraction from images
Gang; Zheng, Nanning (2018-05-22). "Segment-Tube: Spatio-Temporal Action Localization in Untrimmed Videos with Per-Frame Segmentation" (PDF). Sensors. 18 (5):
Computer_vision
American academic
of Anderson localization. The latter achievement of Altshuler and Aleiner is widely regarded as a major milestone and many-body localization, they introduced
Boris_Altshuler
Generalization of a category
is a combinatorial model category, then the localization L ( C ) {\displaystyle L(C)} with respect to weak equivalences is a presentable ∞-category and
Quasi-category
Chemical compound
indicating a "dirty" film. Further evidence of this dirty behavior is the increase in resistivity as T approaches Tc caused by weak localization effects.
Niobium_nitride
Generalization of category theory
where one studies algebraic invariants of spaces, such as the fundamental weak ∞-groupoid. In higher category theory, the concept of higher categorical
Higher_category_theory
Category with direct sums and certain types of kernels and cokernels
kernels of exact functors from A to another abelian category. C is a localizing subcategory if it is a Serre subcategory such that the quotient functor
Abelian_category
Construction in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Inverse_limit
Formula in condensed matter physics
5976. ISSN 0163-1829. Chakravarty, Sudip; Schmid, Albert (1986). "Weak localization: The quasiclassical theory of electrons in a random potential". Physics
Dephasing_rate_SP_formula
Category-theoretic construction
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Coproduct
Theorem in category theory
\mathbf {C} } and given an object B {\displaystyle B} in it, if there is a weakly point-surjective morphism f {\displaystyle f} from some object A {\displaystyle
Lawvere's_fixed-point_theorem
Characterizing property of mathematical constructions
R by a prime ideal p can be identified with the residue field of the localization of R at p; that is R p / p R p ≅ Frac ( R / p ) {\displaystyle R_{p}/pR_{p}\cong
Universal_property
Unpredictable phenomenon in complex systems
subdivided into two perspectives, that of "weak emergence" and "strong emergence". One paper discussing this division is Weak Emergence, by philosopher Mark Bedau
Emergence
Category admitting tensor products
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Monoidal_category
British quantum physicist (born 1969)
Pepper, M.; Ford, C.J.B; Paul, D.J.; Redmond, G. (2004). "Masking by weak localization of metallic behavior in a two-dimensional electron system in strong
Douglas_Paul
Most general completion of a commutative square given two morphisms with same domain
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Pushout_(category_theory)
Mathematical concept
(or colimit) of the original collection of objects and morphisms. Weak limit and weak colimits are defined like limits and colimits, except that the uniqueness
Limit_(category_theory)
Generalization of category
enriched categories in 1965. The more general concept of bicategory (or weak 2-category), where composition of morphisms is associative only up to a 2-isomorphism
2-category
Quotient space of a codomain of a linear map by the map's image
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Cokernel
Russian physicist (1932–2005)
of superconductors, made essential contributions to the theory of weak localization, as well as developed the concept of the Ehrenfest time and its effect
Anatoly_Larkin
category enriched over simplicial sets. Simplicial localization Simplicial localization is a method of localizing a category. simplicial object A simplicial object
Glossary_of_category_theory
Most general completion of a commutative square given two morphisms with same codomain
pullbacks and products has equalizers. A weak pullback of a cospan X → Z ← Y is a cone over the cospan that is only weakly universal, that is, the mediating
Pullback_(category_theory)
Graphical representation of a morphism
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
String_diagram
Category theory concept
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Overcategory
Third mission of the Discovery program; polar orbital reconnaissance of the Moon
magnetic fields. the Moon has no global magnetic field, but it does have weak localized magnetic fields at its surface. These may be paleomagnetic remnants
Lunar_Prospector
Mathematical construction used in homotopy theory
cofibrations and weak equivalences. One can define fibrations to be Kan fibrations. A map of simplicial sets is defined to be a weak equivalence if its
Simplicial_set
Relation of categories in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Isomorphism_of_categories
Concept in category theory
objects A , B {\displaystyle A,B} in C {\displaystyle \mathbf {C} } , a weaker (but technically more cumbersome) notion of point-surjectivity can be defined
Point-surjective_morphism
1993 video game
rescued her and adopted her as his daughter from that point. Echo is quick but weak, but she can execute a Frankensteiner throw. Her special move is the Bird
The_Peace_Keepers
Special case of colimit in category theory
generation may be weakened, as long as the index set remains directed. The weak topology of a CW complex is defined as a direct limit. Let I {\displaystyle
Direct_limit
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Lift_(mathematics)
Elementary particle with extremely low mass
by the Greek letter ν) is an elementary particle that interacts via the weak interaction and gravity. The neutrino is so named because it is electrically
Neutrino
Monoidal category
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Tannakian_formalism
Collection of maps which give the same result
surjections, and bijections, as well as the cofibrations, fibrations, and weak equivalences in a model category. Commutativity makes sense for a polygon
Commutative_diagram
Abstract homotopical model for topological spaces
groupoids. Moreover, because strict groupoids embed inside weak groupoids, they can act as weak groupoids as well. One of the basic theorems about local
∞-groupoid
Indexed collection of objects and morphisms in a category
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Diagram_(category_theory)
Surjective homomorphism
is a monomorphism in the dual category Cop). Epimorphism can be a subtly weaker condition than surjectivity. For example, in the category of rings, the
Epimorphism
Construction in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Cone_(category_theory)
Phenomenon in thermal physics
Many-body localization (MBL) is a dynamical phenomenon which leads to the breakdown of equilibrium statistical mechanics in isolated many-body systems
Localization-protected quantum order
Localization-protected_quantum_order
Category theory constructs
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Kan_extension
Set of arguments where two or more functions have the same value
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Equaliser_(mathematics)
Product of two categories, in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Product_category
Type of category in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Cartesian_closed_category
Quantum mechanical theory of spontaneous collapse
The continuous spontaneous localization (CSL) model is a spontaneous collapse model in quantum mechanics, proposed in 1989 by Philip Pearle. and finalized
Continuous spontaneous localization model
Continuous_spontaneous_localization_model
Piece of information about the content of an image
in the training gives a weak signal for the oval shape, also resulting in a weak signal for the sea urchin output. These weak signals may result in a
Feature_(computer_vision)
Type of quotient object in mathematics
case with the notion of a quotient ring modulo a two-sided ideal. The localization of a category introduces new morphisms to turn several of the original
Quotient_category
Mathematics construct
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Comma_category
Injective homomorphism
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Monomorphism
Generalized object in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Product_(category_theory)
In mathematics, collection of classes
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Conglomerate_(mathematics)
Taiwanese government policy
the idea that it adheres to Anglo-American hegemony, de-sinicization, or a weak version of an independent Taiwan. The editors of the Liberty Times (which
2030_Bilingual_Nation
Endofunctor on the category V of finite-dimensional vector spaces
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Polynomial_functor
Protein-coding gene in the species Homo sapiens
adrenal gland, fallopian tube, and respiratory epithelial tissues. It is weakly to moderately expressed in skeletal muscle and heart muscle. FAM166B is
FAM166B
Superconducting materials where the atoms are linked by covalent bonds
correlated impurity band theory and spin-flip-driven pairing of holes weakly localized in the vicinity of the Fermi level. Experiments on diamonds enriched
Covalent_superconductor
Functor type
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Representable_functor
2005 video game
difficulties for the developers. The localization team worked closely with Intelligent Systems to ensure the localization was as true to the original Japanese
Fire_Emblem:_Path_of_Radiance
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Free_category
Four mathematical theorems
K_{i}(C)} . The localization theorem generalizes the localization theorem for abelian categories. Waldhausen Localization Theorem—Let A {\displaystyle
Basic theorems in algebraic K-theory
Basic_theorems_in_algebraic_K-theory
Category whose objects and morphisms are inside a bigger category
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Subcategory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Envelope_(category_theory)
Category whose hom objects correspond (di-)naturally to objects in itself
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Closed_category
Special objects used in (mathematical) category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Initial_and_terminal_objects
Mathematical category whose hom sets form Abelian groups
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Preadditive_category
Concept in category theory
category Overcategory Free category Functor category Kleisli category Localization of a category Opposite category Product category Quotient category Subcategory
Monoidal_functor
Chemical compound giving a proton or accepting an electron pair
sense) that are solids, liquids, or gases. Strong acids and some concentrated weak acids are corrosive, but there are exceptions such as carboranes and boric
Acid
WEAK LOCALIZATION
WEAK LOCALIZATION
Surname or Lastname
English (Northumbria)
English (Northumbria) : topographic name for someone who lived by the Wear river in northern England. The river name is ancient, occuring in the form Vedra in Ptolemy’s Geographia; it is probably a Celtic word meaning ‘water’.English (Northumbria) : topographic name for someone who lived near a dam or weir, a variant spelling of Ware 1, or a habitational name from a place called Weare, in Devon and Somerset, from Old English wær, wer ‘weir’.
Boy/Male
Spanish
Weak.
Surname or Lastname
English
English : variant of Week.
Girl/Female
Hindu, Indian, Traditional
Peak
Boy/Male
Arabic
One who has Weak Eyes
Biblical
weak; slacked
Boy/Male
Arabic, Muslim
Weak
Girl/Female
Indian
Peak
Boy/Male
Arabic, Muslim
Weak
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Peak
Boy/Male
Biblical
Weak, slacked.
Boy/Male
Hindu
Peak
Boy/Male
Tamil
Peak
Surname or Lastname
English
English : variant spelling of Leake.
Surname or Lastname
English
English : variant of Wick, specifically a habitational name from any of various places called Week or Weeke, notably in Cornwall, Hampshire, and Somerset.Americanized spelling of Norwegian or Swedish Vik.
Boy/Male
Australian, Hindu, Indian
Peak
Girl/Female
Tamil
Peak
Girl/Female
Australian, Christian, French, German, Hebrew
Hair; Lovelorn; Delicate; Weak
Surname or Lastname
English
English : topographic name for someone living by a pointed hill (or regional name from the Peak District (Old English Pēaclond) in Derbyshire), named with Old English pēac ‘peak’, ‘pointed hill’ (found only in place names). This word is not directly related to Old English pīc ‘point’, ‘pointed hill’, which yielded Pike; there is, however, some evidence of confusion between the two surnames.Possibly also Irish : reduced form of McPeak.Major concentrations of the surname Peak are found in Staffordshire and the West Country of England. Among the earliest known bearers are Richard del Pech or del Pek (d. 1196), son of Rannulf, sheriff of Nottingham, and Willielmus Piec (Winchester 1194). A century later, c.1284, a certain Richard del Peke settled in Denbighshire (now part of Clwyd), Wales, receiving lands from Henry de Lacey, earl of Lincoln, in return for helping to control the region. His descendants, who bear the name Peak(e), can be traced to the present day, and are found in New Zealand and Canada as well as in Britain. Peake is also the name of a family descended from John Pyke, who paid rent to the abbot of Leicester in 1477. The name took various forms, such as Peke and Pick, eventually becoming established as Peak in the 17th century.
Boy/Male
Hindu, Indian
Week
WEAK LOCALIZATION
WEAK LOCALIZATION
Boy/Male
Indian, Punjabi, Sikh
God's Love
Female
Native American
Native American Sioux name WIHAKAYDA means "little one."
Girl/Female
Muslim
Girl/Female
Gujarati, Hindu, Indian
Full of Brightness
Girl/Female
Indian
Fortune
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological
An Epithet of Shiva
Boy/Male
Hindu
Girl/Female
Norse
Daughter of Asgrim.
Boy/Male
Arabic
Obvious; Evident
Female
Japanese
(直樹) Japanese unisex name NAOKI means "docile tree."
WEAK LOCALIZATION
WEAK LOCALIZATION
WEAK LOCALIZATION
WEAK LOCALIZATION
WEAK LOCALIZATION
a.
Having weak knees; hence, easily yielding; wanting resolution.
v. t.
To cause or make by friction or wasting; as, to wear a channel; to wear a hole.
a.
Having a weak mind, either naturally or by reason of disease; feebleminded; foolish; idiotic.
v. i.
Wanting in point or vigor of expression; as, a weak sentence; a weak style.
v. i.
To rise or extend into a peak or point; to form, or appear as, a peak.
a.
To make or become weak; to weaken.
v. i.
Wanting in power to influence or bind; as, weak ties; a weak sense of honor of duty.
v. i.
Tending towards lower prices; as, a weak market.
v. i.
Lacking in elements of political strength; not wielding or having authority or energy; deficient in the resources that are essential to a ruler or nation; as, a weak monarch; a weak government or state.
n.
The upper aftermost corner of a fore-and-aft sail; -- used in many combinations; as, peak-halyards, peak-brails, etc.
v. i.
Not stiff; pliant; frail; soft; as, the weak stalk of a plant.
v. i.
Not having power to convince; not supported by force of reason or truth; unsustained; as, a weak argument or case.
v. i.
Not able to resist external force or onset; easily subdued or overcome; as, a weak barrier; as, a weak fortress.
v.
A crack, crevice, fissure, or hole which admits water or other fluid, or lets it escape; as, a leak in a roof; a leak in a boat; a leak in a gas pipe.
v. i.
Not able to sustain a great weight, pressure, or strain; as, a weak timber; a weak rope.
v. i.
Not thoroughly or abundantly impregnated with the usual or required ingredients, or with stimulating and nourishing substances; of less than the usual strength; as, weak tea, broth, or liquor; a weak decoction or solution; a weak dose of medicine.
v. i.
Not able to withstand temptation, urgency, persuasion, etc.; easily impressed, moved, or overcome; accessible; vulnerable; as, weak resolutions; weak virtue.
v. i.
Feeble of mind; wanting discernment; lacking vigor; spiritless; as, a weak king or magistrate.
v. i.
Not firmly united or adhesive; easily broken or separated into pieces; not compact; as, a weak ship.
v. i.
Lacking ability for an appropriate function or office; as, weak eyes; a weak stomach; a weak magistrate; a weak regiment, or army.