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Counting orbits of certain infinitely generated non-sharp discontinuous groups for the anti-de Sitter space
Inspired by an example of Guéritaud and Kassel (Geom Topol 21(2):693–840, 2017), we construct a family of infinitely generated discontinuous groups
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Dynamics of excitable cells: spike-adding phenomena in action
We study the dynamics of action potentials of some electrically excitable cells: neurons and cardiac muscle cells. Bursting, following a fast–slow...
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COHOMOGENEITY ONE KÄHLER-RICCI SOLITONS UNDER A HEISENBERG GROUP ACTION AND RELATED METRICS
We find complete expanding Kähler-Ricci solitons of two types. The first are of cohomogeneity one under the action of the (2 m - 1)-dimensional...
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Some Variational Principles for the Metric Mean Dimension of a Semigroup Action
In this manuscript, we show that the metric mean dimension of a semigroup action satisfies three variational principles: (a) in our first result, we...
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Action versus energy ground states in nonlinear Schrödinger equations
We investigate the relations between normalized critical points of the nonlinear Schrödinger energy functional and critical points of the...
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Structure groups of L-algebras and Hurwitz action
Etingof et al. introduced a concept of structure group and applied it to involutive set-theoretic solutions to the Yang-Baxter equation. Other types...
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A local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks
In this paper, we apply local discontinuous Galerkin methods to the pattern formation dynamical model in polymerizing action flocks. Optimal error...
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The algebra of symmetric tensors on smooth projective varieties
In this paper, we discuss the ℂ-algebra H 0 ( X , S• T X ) for a smooth complex projective variety X . We compute it in some simple examples, and give a...
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Poisson and Symplectic Structures, Hamiltonian Action, Momentum and Reduction
This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisła–2019, Poland and written...
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Concentration behavior of endemic equilibrium for a reaction–diffusion–advection SIS epidemic model with mass action infection mechanism
We are concerned with a reaction–diffusion–advection SIS epidemic model with mass action infection mechanism in a one dimensional bounded domain. We...
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Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms
We consider a class of non-homogeneous ultraparabolic differential equations with singular drift terms arising from some physical models, and prove...
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Novel spatial profiles of some diffusive SIS epidemic models
In this paper, we are concerned with two SIS epidemic reaction–diffusion models with mass action infection mechanism of the form SI , and study the...
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On the local systolic optimality of Zoll contact forms
We prove a normal form for contact forms close to a Zoll one and deduce that Zoll contact forms on any closed manifold are local maximizers of the...
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Verifying Fundamental Solution Groups for Lossless Wave Equations via Stationary Action and Optimal Control
A representation of a fundamental solution group for a class of wave equations is constructed by exploiting connections between stationary action and...
