77 citations
6 papers
Reduced-symmetry two-dimensional solitons in photonic lattices
Robert Fischer, Denis Traeger, Dragomir N. Neshev +4
We demonstrate theoretically and experimentally a novel type of localized beams supported by the combined effects of total internal and Bragg reflection in nonlinear two-dimensiona…
On degenerations between preprojective modules over wild quivers
Roland Olbricht
We study minimal degenerations between preprojective modules over wild quivers. Asymptotic properties of such degenerations are studied, with respect to codimension and numbers of…
Valleys and the maximum local time for random walk in random environment
Amir Dembo, Nina Gantert, Yuval Peres +1
Let be the local time at for a recurrent one-dimensional random walk in random environment after steps, and consider the maximum . It is k…
Counting rational points of quiver moduli
Markus Reineke
It is shown that rational points over finite fields of moduli spaces of stable quiver representations are counted by polynomials with integer coefficients. These polynomials are co…
Multilinear function series and transforms in free probability theory
Ken Dykema
The algebra Mul[[B]] of formal multilinear function series over an algebra B and its quotient SymMul[[B]] are introduced, as well as corresponding operations of formal composition.…
Difference prophet inequalities for [0,1]-valued i.i.d. random variables with cost for observations
Holger Kosters
Let X_1,X_2,... be a sequence of [0,1]-valued i.i.d. random variables, let c\geq 0 be a sampling cost for each observation and let Y_i=X_i-ic, i=1,2,.... For n=1,2,..., let M(Y_1,.…