Results 11 to 20 of about 39,157 (135)

An Introduction to Predictive Processing Models of Perception and Decision‐Making

Topics in Cognitive Science, EarlyView., 2023
Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley   +1 more source

Hypermatrix factors for string and membrane junctions

, 2010
The adjoint representations of the Lie algebras of the classical groups SU(n), SO(n), and Sp(n) are, respectively, tensor, antisymmetric, and symmetric products of two vector spaces, and hence are matrix representations.
, Aharony O, Bastianelli F, Capdevielle B, Cayley A, Daniel Thompson, de Medeiros P, Egorov G V, Fehér L M, Fulton W, Green M, Henningson M, Herz C, Hisham Sati, Hitchcock F L, Katanova A A, Nurmiev A G, Onishchik A L, Redelmeier D, Revoy Ph, Sati H, Shir Levkowitz, Sokolov N P, Vinberg E B, Vinberg E B, Vinberg E B, West P, Yuhan Fang   +27 more
core   +1 more source

CP violation conditions in N-Higgs-doublet potentials [PDF]

, 2006
Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models (NHDMs) are analyzed from a group theoretical perspective.
C. C. Nishi, C. Itzykson, G. C. Branco, L. Michel, L. O’Raifeartaigh, R. Gilmore   +5 more
core   +2 more sources

A Characterization of Reduced Forms of Linear Differential Systems

, 2012
A differential system $[A] : \; Y'=AY$, with $A\in \mathrm{Mat}(n, \bar{k})$ is said to be in reduced form if $A\in \mathfrak{g}(\bar{k})$ where $\mathfrak{g}$ is the Lie algebra of the differential Galois group $G$ of $[A]$.
Aparicio-Monforte, Ainhoa, Compoint, Elie, Weil, Jacques-Arthur   +2 more
core   +3 more sources

Knot polynomial identities and quantum group coincidences [PDF]

, 2011
We construct link invariants using the $D_{2n}$ subfactor planar algebras, and use these to prove new identities relating certain specializations of colored Jones polynomials to specializations of other quantum knot polynomials. These identities can also
Morrison, Scott, Peters, Emily, Snyder, Noah   +2 more
core   +1 more source

The Cardy-Cartan modular invariant [PDF]

, 2012
Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essential features with the ones appearing in logarithmic CFT. The coefficients of
Fuchs, Jurgen, Schweigert, Christoph, Stigner, Carl   +2 more
core   +1 more source

Mechanoadaptation via Myosin Cytoplasmic Redistribution Protects Circulating Tumor Cells From Shear‐induced Death During Hematogenous Dissemination

Advanced Science, EarlyView.
This study investigates how CTCs survive varying shear stress during hematogenous metastasis. We uncover a self‐protection mechanism, by which non‐adherent CTCs adapt to high shearing milieu through accumulated cytoplasmic myosin‐mediated disruption of myosin‐actin binding, attenuating force transmission into chromatin to protect CTCs from shear ...
Cunyu Zhang, Qianchun Wang, Keming Li, Guanshuo Hu, Ying Xin, Kai Tang, Bing Hu, Pengyu Du, Renwei Mao, Baohua Ji, Youhua Tan   +10 more
wiley   +1 more source

A representation theoretic approach to the WZW Verlinde formula [PDF]

, 1997
By exploring the description of chiral blocks in terms of co-invariants, a derivation of the Verlinde formula for WZW models is obtained which is entirely based on the representation theory of affine Lie algebras.
Fuchs, J., Schweigert, C.
core   +3 more sources

Covariants,joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature

, 2004
The invariant theory of Killing tensors (ITKT) is extended by introducing the new concepts of covariants and joint invariants of (product) vector spaces of Killing tensors defined in pseudo-Riemannian spaces of constant curvature.
Eisenhart L. P., Fels M., Green M. L., Jin Yue, Kamran N., Klein F., Kogan I. A., McLenaghan R. G., McLenaghan R. G., Olevsky M. N., Rastelli G., Roman G. Smirnov, Schouten J. A., Sergyeyev A.   +13 more
core   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source