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Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter binomial Lax matrices
2011/7/7
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Sklyanin brac...
Instabilities in free surface continuous jets of non-Newtonian fluids, although relevant for many industrial processes, remain less well understood in terms of fundamental fluid dynamics.
Non abelian tensor square of non abelian prime power groups
Tensor square non abelian p-groups
2011/2/22
For every p-group of order pn with the derived subgroup of order pm, Rocco in [7] has shown that the order of tensor square of G is at most pn(n−m). In the present paper not only we improve his ...
Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation
collective motion semiclassical physics perturbation theory
2010/12/28
We study the interplay between collective and incoherent single–particle motion in a model of two chains of particles whose interaction comprises a non–integrable part. In the perturbative regime,but ...
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics
2010/12/28
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
Dynamic synchronization of a time-evolving optical network of chaotic oscillators
Dynamic synchronization chaotic oscillators
2010/12/28
Dynamic synchronization of a time-evolving optical network of chaotic oscillators.
Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems
Chiral Resonant Solitons Broer-Kaup Type New Hydrodynamic Systems
2010/12/28
New Broer-Kaup type systems of hydrodynamic equations are derived from the derivative reaction-diffusion systems arising in SL(2,R) Kaup-Newell hierarchy, represented in the non-Madelung hydrodynamic ...
Dynamics of automorphisms on compact Kähler manifolds
holomorphic automorphism Green current laminar current Green measure
2010/12/14
We study holomorphic automorphisms on compact K¨ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex ...
Right submodules of finite rank for von Neumann dynamical systems
Finite rank submodules von Neumann dynamical systems
2010/11/29
Let (M, , , ) be a (finite) von Neumann dynamical system and let N be a unital von Neumann subalgebra of M which is -invariant. If V ⊂ L2(M) is a right N-submodule whose pr...
Survival of near-critical branching Brownian motion
ival near-critical branching Brownian motion
2010/11/29
Consider a system of particles performing branching Brownian motion with negative
drift μ = √2 − " and killed upon hitting zero. Initially there is one particle at x > 0.
Kesten [12] showed th...
Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
self-repelling random motion local time central limit theorem
2010/11/29
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
Weak Dynamic Non-Emptiability and Persistence of Chemical Kinetics Systems
chemical kinetics dynamically non-emptiable siphons complex balanced
2010/11/29
A frequently desirable characteristic of chemical kinetics systems is that of persistence, the property that no initially present species may tend toward extinction. It is known that solutions of dete...
The continuous symmetries of physical systems are reflected not only by conservation laws, but also by constraints on the probability, or particle dis-tribution functions, and phase-space reduction.
Positive recurrence of reflecting Brownian motion in three dimensions
Reflecting Brownian motion transience Skorohod problem
2010/12/14
Consider a semimartingale reflecting Brownian motion (SRBM)Z whose state space is the d-dimensional nonnegative orthant. The data for such a process are a drift vector , a nonsingular d×d covariance ...
We present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models, yet has the advanta...