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We study a mechanical model known as Galton board { a particle rolling on a tilted plane under gravitation and bouncing o a periodic array of rigid obstacles (pegs). This model is also identical to...
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatte...
We study a particle moving in R 2 under a constant (external) force and bouncing off a periodic array of convex domains (scatterers); the latter must satisfy a standard ‘finite horizon’...
We prove that any distributional limit of finite planar graphs in which the degree of the root has an exponential tail is almost surely recurrent. As a corollary, we obtain that the uniform infinite p...
We generalize the IP-polynomial Szemer\'edi theorem due to Bergelson and McCutcheon and the nilpotent Szemer\'edi theorem due to Leibman. Important tools in our proof include a generalization of Leibm...
Abstract: We study the positive recurrence of piecewise Ornstein-Uhlenbeck (OU) diffusion processes, which arise from many-server queueing systems with phase-type service requirements. These diffusion...
We consider a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanuja...
We provide conditions which yield a strong law of large num-bers for expressions of the form 1/N PN n=1 F􀀀X(q1(n)), · · · ,X(qℓ(n)) where X(n), n  0’s is a sufficiently fast mixing ve...
Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. Dur...
The looked for V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$ is delivered
We present a comprehensive table of recurrence and differential relations obeyed by spin one-half spherical spinors (spinor spherical harmonics) $\Omega_{\kappa\mu}(\mathbf{n})$ used in relativistic ...
A new, linear, three-term recurrence relation for the 6j-symbol of the quantum group suq(2) is derived. It is cast in the form of a symmetric eigenvalue problem, generalizing a result of Schulten and ...
Let A  {1, . . . ,N} and P1, . . . , Pℓ 2 Z[n] with Pi(0) = 0 and deg Pi = k for every 1  i  ℓ.We show, using Fourier analytic techniques, that for every ε > 0, there necessarily exists...
I will prove a recurrence theorem which says that any Hs (s > 2)solution to the 2D inviscid channel flow returns repeatedly to an arbitrarily small H0 neighborhood. Periodic boundary condition is impo...
We introduce an elementary congruence-based procedure to look for q-th power multiples in arbitrary binary recurrence sequences (q  3). The procedure allows to prove that no such multiples exist in m...

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