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The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the decay of the single...
Algebra in superextensions of semilattices      semilattice  band  commutative semigroup  the space of upfamilies       font style='font-size:12px;'> 2011/1/20
Given a semilattice X we study the algebraic properties of the semigroup (X) of upfamilies on X. The semigroup (X) contains the Stone-ˇCech extension (X), the superextension (X), and the space of...
We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
A cusp form f(z) of weight k for SL2(Z) is determined uniquely by its first ℓ := dim Sk Fourier coefficients. We derive an explicit bound on the nth coefficient of f in terms of its first ℓ...
We follow the mathematical framework proposed by Bouchut [3] in order to derive equilibrium functions for D1Q3 lattice Boltzmann simulations of the Burgers equation. When a particular convexity proper...
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähle...
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
We prove an optimal W(n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal multi-pass space lower...
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
We describe an algorithm for distinguishing hyperbolic compo-nents in the parameter space of quadratic rational maps with a periodic critical point. We then illustrate computer images of the hyperboli...
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...
Strong solidity of group factors from lattices in SO(n,1) and SU(n,1)      strong solidity  lattices       font style='font-size:12px;'> 2010/12/3
We show that the group factors L􀀀, where 􀀀 is an ICC lattice in either SO(n, 1)or SU(n, 1), n ≥ 2, are strongly solid in the sense of Ozawa and Popa [13]. This strengthens a result o...
Computability of Brolin-Lyubich Measure     Computability  Brolin-Lyubich Measure       font style='font-size:12px;'> 2010/12/8
Brolin-Lyubich measure R of a rational endomorphism R : ˆC !ˆC with deg R  2 is the unique invariant measure of maximal entropy hR =htop(R) = log d.
Let 􀀀 be a non-cocompact lattice on a locally finite regular right-angled building X. We prove that if 􀀀 has a strict fundamental domain then 􀀀 is not finitely generated. We...

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