Bounded cohomology of groups acting on trees with almost prescribed local actions
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions G(F,F′)$G(F, F^{\prime })$, where F
Giuseppe Bargagnati, Elena Bogliolo
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Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Bulletin of the London Mathematical Society, EarlyView.Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
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A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, EarlyView.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
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A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Bulletin of the London Mathematical Society, EarlyView.Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
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Simple groups with strong fixed‐point properties
Bulletin of the London Mathematical Society, EarlyView.Abstract We exhibit finitely generated torsion‐free groups for which any action on any finite‐dimensional CW‐complex with finite Betti numbers has a global fixed point.
Nansen Petrosyan
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D. E. Evans and M. Takesaki Operator algebras and applications, Volume 1: Structure theory; K-theory, geometry and topology; Volume 2: Mathematical physics and subfactors (London Mathematical Society Lecture Note Series 135, 136, Cambridge University Press, Cambridge1988) Vol. 1, viii + 244 pp, paper: 0 521 36843 X, £17.50; Vol. 2, viii + 240 pp, paper: 0 521 36844 8, £17.50. [PDF]
, 1989 Allan M. Sinclair
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, 2016 We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
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Image space formalism of convolutional neural networks for k‐space interpolation
Magnetic Resonance in Medicine, Volume 94, Issue 6, Page 2680-2701, December 2025.Abstract Purpose Noise resilience in image reconstructions by scan‐specific robust artificial neural networks for k‐space interpolation (RAKI) is linked to nonlinear activations in k‐space. To gain a deeper understanding of this relationship, an image space formalism of RAKI is introduced for analyzing noise propagation analytically, identifying and ...
P. Dawood +6 more
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