Results 31 to 40 of about 2,002 (67)
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.Abstract We aim to deduce analytic expressions for the homogenised coefficients that describe the mechanical behaviour of a uniaxially fibre‐reinforced composite material consisting of two solid constituents undergoing inelastic distortions, one representing the extracellular matrix, and the other representing the inclusions that model the fibres ...
Ariel Ramírez‐Torres +4 more
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Dixmier traces and some applications to noncommutative geometry
, 2006 This is a survey of some recent advances in the theory of singular traces in which the authors have played some part and which were inspired by questions raised by the book of Alain Connes (Noncommutative Geometry, Academic Press 1994).
Carey, A. L., Sukochev, F. A.
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Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley +1 more source
Some mixed Hodge structure on l^2-cohomology of covering of K\"ahler manifolds
, 2013 We give methods to compute l^2-cohomology groups of a covering manifolds obtained by removing pullback of a (normal crossing) divisor to a covering of a compact K\"ahler manifold.
CP Rourke +11 more
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Integral formulation of Klein–Gordon singular waveguides
Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 323-365, February 2025.Abstract We consider the analysis of singular waveguides separating insulating phases in two‐space dimensions. The insulating domains are modeled by a massive Schrödinger equation and the singular waveguide by appropriate jump conditions along the one‐dimensional interface separating the insulators. We present an integral formulation of the problem and
Guillaume Bal +3 more
wiley +1 more source
Extended quantum field theory, index theory and the parity anomaly
, 2018 We use techniques from functorial quantum field theory to provide a geometric description of the parity anomaly in fermionic systems coupled to background gauge and gravitational fields on odd-dimensional spacetimes. We give an explicit construction of a
Müller, Lukas, Szabo, Richard J.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 926-979, 15 January 2025.We employ the theory of asymptotic homogenization (AH) to study the elasto‐plastic behavior of a composite medium comprising two solid phases, separated by a sharp interface and characterized by mechanical properties, such as elastic coefficients and “initial yield stresses” (i.e., a threshold stress above which remodeling is triggered), that may ...
Alessandro Giammarini +2 more
wiley +1 more source
Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation
, 2011 We associate to a parametrized family $f$ of nonlinear Fredholm maps possessing a trivial branch of zeroes an {\it index of bifurcation} $\beta(f)$ which provides an algebraic measure for the number of bifurcation points from the trivial branch.
Pejsachowicz, Jacobo
core
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source
Central limit theorem for smooth statistics of one‐dimensional free fermions
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
wiley +1 more source