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Restricted Birkhoff Polytopes and Ehrhart Period Collapse
We show that the polytopes obtained from the Birkhoff polytope by imposing additional inequalities restricting the “longest increasing subsequence”...
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On Convergence Rates in the Birkhoff Ergodic Theorem
Basing on two approaches, we survey the results about convergence rates in the Birkhoff Ergodic Theorem. The first approach concerns almost...
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On the Growth of Birkhoff Sums over a Rotation of the Circle
AbstractEven Poincaré had constructed an example which implies the existence of an irrational rotation of the circle and a function continuous on it...
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Hamiltonian Paradifferential Birkhoff Normal Form for Water Waves
We present the almost global in time existence result in [
13 ] of small amplitude space periodic solutions of the 1D gravity-capillary water waves... -
The A-integral for Riemann-measurable vector-valued functions
We propose two possible generalizations of the A -integral within the Riemann measurable functions class and study their basic properties, relation to...
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A Birkhoff–Kellogg Type Theorem for Discontinuous Operators with Applications
By means of fixed point index theory for multivalued maps, we provide an analogue of the classical Birkhoff–Kellogg Theorem in the context of...
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Lecture Notes on Birkhoff Billiards: Dynamics, Integrability and Spectral Rigidity
A mathematical billiard is a system describing the inertial motion of a point mass inside a domain, with elastic reflections at the boundary. The...
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On the density of Birkhoff sums for Anosov diffeomorphisms
Let f : M → M be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Hölder continuous observation along periodic orbits. We...
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Monotone Nonautonomous Dynamical Systems with a First Integral
In this chapter we study the problem of Bohr/Levitan almost periodicity, almost automorphy, almost recurrence in the sense of Bebutov, recurrence in...
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On Some Invariants of Birkhoff Billiards Under Conjugacy
In the class of strictly convex smooth boundaries each of which has no strip around its boundary foliated by invariant curves, we prove that the...
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Das Lebesgue-Integral
Die Mängel des Riemann’schen Integrals werden durch das Lebesgue-Integral behoben. Typischerweise wird das anspruchsvollere Lebesgue-Integral im...
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A classification of harmonic weak Maaß forms of half-integral weight
We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maaß forms with exponential growth allowed at...
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Iterative Processes and Integral Equations of the Second Kind
Beside the general theory to operator equations and iterative processes, including existence and uniqueness of solutions, fixed point theory, local...
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Partially Ordered Fields and Integral Domains
The article studies the division closed partial orders on fields that are algebraic over the field of rational numbers. In particular, the maximal...
