Results 41 to 50 of about 56,136 (229)
Entropy, 2020 In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
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Infinite flags and Schubert polynomials
Forum of Mathematics, SigmaWe study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
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Projectively Equivariant Quantization Map
Letters in Mathematical Physics, 2000 Let M be a manifold endowed with a symmetric affine connection $ .$ The aim of this paper is to describe a quantization map between the space of second-order polynomials on the cotangent bundle T^{*} M and the space of second-order linear differential operators, both viewed as modules over the group of diffeomorphisms and the Lie algebra of vector ...
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Various notions of amenability for not necessarily locally compact groupoids [PDF]
Surveys in Mathematics and its Applications, 2014 We start with a groupoid G endowed with a family W of subsets mimicking the properties of a neighborhood basis of the unit space (of a topological groupoid with paracompact unit space).
Mădălina Roxana Buneci
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A tight colored Tverberg theorem for maps to manifolds (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $Δ _N ...
Pavle V. M. Blagojević +2 more
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Coassembly is a homotopy limit map
, 2020 We prove a claim by Williams that the coassembly map is a homotopy limit map. As an application, we show that the homotopy limit map for the coarse version of equivariant $A$-theory agrees with the coassembly map for bivariant $A$-theory that appears in ...
Malkiewich, Cary, Merling, Mona
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Advanced Science, EarlyView.This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo +6 more
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Geometric versus homotopy theoretic equivariant bordism
, 2004 By results of Loeffler and Comezana, the Pontrjagin-Thom map from geometric G-equivariant bordism to homotopy theoretic equivariant bordism is injective for compact abelian G. If G = S^1 x ...
Hanke, Bernhard
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Tandem Takeoff: Powering Tomorrow with Industrial‐Grade Perovskite/Silicon Solar Cells
Advanced Energy Materials, EarlyView.Perovskite/silicon tandem solar cells have recently achieved certified power conversion efficiencies of 34.85%, far exceeding the Shockley‐Queisser limit for single‐junction silicon and standalone perovskite cells. This review highlights the latest advances in the design, integration, and optimization of perovskite top cells for monolithic tandem ...
Maria Vasilopoulou +19 more
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Conjugates of strongly equivariant maps [PDF]
Pacific Journal of Mathematics, 1994 Let \(G_1\) and \(G_2\) be hermitian algebraic groups with associated symmetric domains \(X_1\) and \(X_2\), respectively. A holomorphic embedding \(\tau : X_1 \to X_2\) is called weakly equivariant if there exists a morphism of algebraic groups \(\rho : G_1 \to G_2\) compatible with \(\tau\).
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