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Random walks on finite rank solvable groups
random walk heat kernel decay asymptotic invariants of infinite groups Prüfer rank – solvable group
2015/8/26
We establish the lower bound p2t (e, e) exp(−t1/3), for the large times asymptotic
behaviours of the probabilities p2t (e, e) of return to the origin at even times 2t, for
random walks assoc...
Tight Oracle Bounds for Low-rank Matrix Recovery from a Minimal Number of Random Measurements
Matrix completion The Dantzig selector oracle inequalities norm of random matrices convex optimization and semidefinite programming
2015/6/17
This paper presents several novel theoretical results regarding the recovery of a low-rank matrix from just a few measurements consisting of linear combinations of the matrix entries. We show that pro...
Dense Error Correction for Low-Rank Matrices via Principal Component Pursuit
Dense Error Correction Low-Rank Matrices Principal Component Pursuit
2015/6/17
We consider the problem of recovering a lowrank matrix when some of its entries, whose locations are not known a priori, are corrupted by errors of arbitrarily large magnitude. It has recently been sh...
Goryachev-Chaplygin, Kovalevskaya, and Brdicka-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stackel-Killing tensors
Goryachev-Chaplygin Kovalevskaya Brdicka-Eardley-Nappi-Witten pp-waves spacetimes Differential Geometry
2011/10/10
Abstract: Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats spacetimes, as well as the Brdi\v{c}ka-Eardley-Nappi-Witten pp-waves are studied. We find out that these spacetimes po...
Vector bundles of rank 2 computing Clifford indices
Semistable vector bundle Clifford indices gonality
2011/1/17
Clifford indices of vector bundles on algebraic curves were introduced in a previous paper of the authors. In this paper we study bundles of rank 2 which compute these Clifford indices.
This is of pa...
Shioda described in his article from 1986 a method to compute the Lefschetz number of a Delsarte surface. In one of his examples he uses this method to compute the rank of an elliptic curve over k(t)...
Finding approximately rank-one submatrices with the nuclear norm and l1 norm
rank-one submatrices the nuclear norm and l1 norm
2010/11/15
We propose a convex optimization formulation with the nuclear norm and $\ell_1$-norm to find a large approximately rank-one submatrix of a given nonnegative matrix. We develop optimality conditions f...
Generalized triangle inequalities in thick Euclidean buildings of rank 2
Generalized triangle inequalities thick Euclidean buildings of rank 2
2010/12/1
We give the generalized triangle inequalities which determine the possible -valued side lengths of n-gons in thick Euclidean buildings of rank 2.