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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’...
Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics
Gas bose Einstein condensation partition function condensation
2014/12/20
We calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain...
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 and differential relations for spherical spinors
differential relations spherical spinors
2010/12/27
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-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...
Recurrence and differential relations for spherical spinors
spherical spinors spinor spherical harmonics angular momentum
2011/1/7
We present a comprehensive table of recurrence and differential relations obeyed by spin
one-half spherical spinors (spinor spherical harmonics) μ(n) used in relativistic atomic.
Recurrence plots and chaotic motion around Kerr black hole
black hole physics magnetic fields relativity
2010/11/15
We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. B...
Recurrence plots and chaotic motion around Kerr black hole
black hole physics magnetic fields relativity
2010/12/21
We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. B...
Recurrence-free Vlasov model using kinetic phase point trajectories
Recurrence-free Vlasov model kinetic phase point trajectories
2010/11/12
A method of solution of the collisionless Vlasov equation, by following collisionless phase point trajectories, is presented. It is shown that by increasing the number of phase points, without enhanci...