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Vector bundles of rank 2 computing Clifford indices     Semistable vector bundle  Clifford indices  gonality       font style='font-size:12px;'> 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...
Computing the topological entropy of unimodal maps      Topological entropy  interval maps  symbolic dynamics       font style='font-size:12px;'> 2011/3/2
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm is obtained by t...
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...
This paper reports investigations on the computation of mate-rial fronts in multi-fluid models using a Lagrange-Projection ap-proach. Various forms of the Projection step are considered. Par-ticular a...
We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25].The quasi-periodicity function is one way to measur...
Computing the topological entropy of unimodal maps      Topological entropy  interval maps  symbolic dynamics       font style='font-size:12px;'> 2010/12/28
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm is obtained by t...
Defining and Computing Topological Persistence for 1-cocycles     Topological Persistence  1-cocycles       font style='font-size:12px;'> 2011/2/22
The concept of topological persistence, introduced recently in computational topology, finds applications in studying a map in relation to the topology of its domain. Since its introduction, it has be...
We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25].The quasi-periodicity function is one way to measur...
The Border algorithm and the iPred algorithm find the Hasse diagrams of FCA lattices. We show that they can be generalized to ar-bitrary lattices. In the case of iPred, this requires the identificatio...
A new conception for computing gröbner basis and its applications      Gr¨obner basis  F5  GVW  TRB  Mpair       font style='font-size:12px;'> 2011/3/4
This paper presents a conception for computing gr¨obner basis. We convert some of gr¨obner-computing algorithms, e.g., F5, extended F5 and GWV algorithms into a special type of algorithm.
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...
A new algorithm for computing the multivariate Fa\`a di Bruno's formula is provided. We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa...
We introduce an iterative method for computing the first eigenpair $\left( \lambda_{p},e_{p}\right) $ for the $p$-Laplacian operator with homogeneous Dirichlet data as the limit of $\left( \mu_{q,}u_...
Given non-negative weights wS on the k-subsets S of a km-element set V , we consider the sum of the products wS1 · · ·wSm over all partitions V =S1 [ . . . [ Sm into pairwise disjoint k-subsets Si.
Computing local constants for CM elliptic curves     Computing local constants  CM elliptic curves       font style='font-size:12px;'> 2010/11/9
For E/k an elliptic curve with CM by O, we determine a formula for (a generalization of) the arithmetic local constant of [4] at almost all primes of good reduction. We apply this formula to the CM c...

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