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The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the age ...
Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let u is an element of G be unipotent. We study the centralizer C-G(u), especially its centre Z(C-G(u)). We calculate ...
Recent work by Koblitz and Menezes has highlighted the existence, in some cases, of apparent separations between the hardness of breaking discrete logarithms in a particular group, and the hardness of solving in that group problems to which the security of ...
We propose a simple deterministic test for deciding whether or not a non-zero element a∈F2n or F3n is a zero of the corresponding Kloosterman sum over these fields, and analyse its complexity. The test seems to have been o ...
Using density functional calculations, we address the energetics of the interface between the SiC(0001) substrate and the first covalently bonded epitaxial graphene layer. We consider a 6 root 3 x 6 root 3R30 degrees geometry showing the experimental perio ...
The asynchronous capacity region of memoryless multiple-access channels is the union of certain polytopes. It is well known that vertices of such polytopes may be approached via a technique called successive decoding. It is also known that an extension of ...
Let G be a finite group and let T(G) be the abelian group of equivalence classes of endotrivial kG-modules, where k is an algebraically closed field of characteristic p. We investigate the torsion-free part TF(G) of the group T(G) and look for generators o ...
The present paper investigates numerically and theoretically the axisymmetric vortex breakdown occurring in a constricted pipe of infinite extension, i.e., the transition from a smooth columnar state to a breakdown state exhibiting a recirculation bubble. ...
Let k be an algebraically closed field of characteristic p, where p is a prime number or 0. Let G be a finite group and ppk(G) be the Grothendieck group of p-permutation kG-modules. If we tensor it with C, then Cppk becomes a C-linear biset functor. Recall ...
We show that for any elliptic curve E(Fqn), if an adversary has access to a Static Diffie-Hellman Problem (Static DHP) oracle, then by making O(q1−n+11) Static DHP oracle queries during an initial learning phase, for fixed $n>1 ...