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DIFFUSIVE MOTION AND RECURRENCE ON AN IDEALIZED GALTON BOARD
DIFFUSIVE MOTION AN IDEALIZED GALTON BOAR
2015/9/29
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...
A nilpotent IP polynomial multiple recurrence theorem
ergodic Ramsey theory IP-sets nilpotent Hales-Jewett theorem nilpotent Szemeredi theorem
2012/6/14
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...
Positive recurrence of piecewise Ornstein-Uhlenbeck processes and common quadratic Lyapunov functions
stability common quadratic Lyapunov function Lyapunov function piecewise OU process multi-server queues customer abandonment
2011/9/8
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...
Recurrence Relations for Strongly q-Log-Convex Polynomials
log-concave q-log-convexity strong q-log-convexity Bell polynomials Bessel polynomials Ramanujan polynomials Dowling polynomials
2014/6/3
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...
A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets
strong law of large numbers nonconventional ergodic averages
2011/1/21
We provide conditions which yield a strong law of large num-bers for expressions of the form 1/N PN n=1 FX(q1(n)), · · · ,X(qℓ(n)) where X(n), n 0’s is a sufficiently fast mixing ve...
Recurrence-based time series analysis by means of complex network methods
Chaotic Dynamics (nlin.CD) Social and Information Networks (cs.SI) Data Analysis Statistics and Probability (physics.data-an) Physics and Society (physics.soc-ph)
2010/11/10
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...
A note on V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$
V-binomials recurrence Lucas companion
2010/11/19
The looked for V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$ is delivered
Recurrence and differential relations for spherical spinors
Recurrence and differential relations spherical spinors
2010/11/22
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 ...
Recurrence relation for the 6j-symbol of su_q(2) from an eigenvalue problem
Racah-Wigner coefficients 6j-symbol quantum group eigenvalue problem
2010/12/3
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...
Recurrence in 2D Inviscid Channel Flow
Recurrence inviscid channel flow kinetic energy enstrophy compact embedding
2010/12/1
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...
Power multiples in binary recurrence sequences: an approach by congruences
Power multiples binary recurrence sequences approach by congruences
2010/12/13
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...