Results 21 to 30 of about 186 (128)
Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions [PDF]
, 2011 The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Alireza Medghalchi, Massoud Amini
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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Excursion theory for Markov processes indexed by Lévy trees
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We develop an excursion theory that describes the evolution of a Markov process indexed by a Lévy tree away from a regular and instantaneous point x$x$ of the state space. The theory builds upon a notion of local time at x$x$ that was recently introduced in the companion paper [Probab. Theory Related Fields. 189 (2024), 1–99].
Armand Riera, Alejandro Rosales‐Ortiz
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Dynamics Of Holomorphic Functions In The Hyperbolic Plane [PDF]
, 2020 This thesis investigates the interactions between hyperbolic geometry and the dynamcal behaviour of compositions of holomorphic self-maps of the hyperbolic plane.
Christodoulou, Argyrios
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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A universal example for quantitative semi‐uniform stability
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We characterise quantitative semi‐uniform stability for C0$C_0$‐semigroups arising from port‐Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port‐Hamiltonian C0$C_0$‐semigroups exhibiting arbitrary decay rates slower than t−1/2$t^{-1/2}$.
Sahiba Arora +3 more
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Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
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Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincaré Systems and Rigged Hilbert Space [PDF]
, 2003 This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity transformation approach (see Part I), but the contemporary approach utilizes
Bishop, Robert
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On variant means and applications to ergodic theory and harmonic analysis [PDF]
, 1971 This thesis is concerned with the existence and properties of invariant means on certain Banach spaces and their applications to ergodic theory and harmonic analysis. The principal results obtained are as follows.
Renaud, P. F., Renaud, Peter Francis
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