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THE VISITS TO ZERO OF A RANDOM WALK DRIVEN BY AN IRRATIONAL ROTATION
RANDOM WALK DRIVEN IRRATIONAL ROTATION
2015/9/29
The method is to nd the asymptotic behavior of the ergodic sums of L1
functions for linear
ows on the in nite staircase surface.
Our methods also provide a new proof of J. Beck's central limit th...
Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Riemannian Manifolds Killing vector fields Rellich identities
2011/1/21
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Riemannian manifolds ad...
On the flatness of Riemannian cylinders without conjugate points
flatness of Riemannian cylinders conjugate points
2010/12/31
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...
On Nicolas criterion for the Riemann Hypothesis
Nicolas inequality Euler totient Dedekind function Riemann Hypothesis
2010/12/31
Nicolas criterion for the Riemann Hypothesis is based on an inequality that Euler totient function must satisfy at primorial numbers. A natural approach to derive this inequality would be to prove tha...
Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian
Twisted geometric Satake equivalence gerbes factorizable grassmannian
2010/12/31
The geometric Satake equivalence of Ginzburg and Mirkovic{ Vilonen, for a complex reductive group G, is a realization of the tensor category of representations of its Langlands dual group LG as a cat...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2010/12/31
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2010/12/31
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2010/12/31
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
factorization shifted Riccati procedure barotropic FRW cosmologies
2010/12/31
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework ...
A physics pathway to the Riemann hypothesis
Riemann hypothesis zeta function,quantum mechanics quantum chaos
2010/12/31
We present a brief review of the spectral approach to the Riemann hypothesis,according to which the imaginary part of the non trivial zeros of the zeta function are the the eigenvalues of the Hamilton...
Riemann hypothesis and Quantum Mechanics
Bost-Connes model Riemann Hypothesis Primorial numbers
2010/12/31
In their 1995 paper, Jean-Benoˆıt Bost and Alain Connes (BC) constructed a quantum dynamical system whose partition function is the Riemann zeta function ζ(β),where β is an inverse temperatu...
Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds
Bumpy Riemannian metrics closed parametrized minimal surfaces Riemannian manifolds
2010/12/31
This article is concerned with conformal harmonic maps f : ! M,where is a closed Riemann surface and M is a compact Riemannian manifold of dimension at least four. We show that when the ambient ma...
Curve Reconstruction in Riemannian Manifolds: Ordering Motion Frames
Curve Reconstruction Riemannian Manifolds Ordering Motion Frames
2010/12/31
In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds.We prove that the minimal spanning tree, given a sufficiently dense sample set of ...
The ground state energy of a charged particle on a Riemann surface
ground state energy charged particle Riemann surface
2010/12/31
It is shown that the quantum ground state energy of particle of mass m and elec-tric charge e moving on a compact Riemann surface under the influence of a constant magnetic field of strength B is E0 =...
Riemann hypothesis and Quantum Mechanics
Bost-Connes model Riemann Hypothesis Primorial numbers
2010/12/31
In their 1995 paper, Jean-Benoˆıt Bost and Alain Connes (BC) constructed a quantum dynamical system whose partition function is the Riemann zeta function ζ(β),where β is an inverse temperatu...