ar X iv : m at h / 04 03 33 7 v 1 [ m at h . C O ] 2 1 M ar 2 00 4 LATTICE PATH MATROIDS : STRUCTURAL PROPERTIES

ar X iv : m at h / 04 10 42 5 v 1 [ m at h . C O ] 1 9 O ct 2 00 4 MULTI - PATH MATROIDS

We introduce the minor-closed, dual-closed class of multi-path matroids. We give a polynomial-time algorithm for computing the Tutte polynomial of a multi-path matroid, we describe their basis activities, and we prove some basic structural properties. Key elements of this work are two complementary perspectives we develop for these matroids: on the one hand, multi-path matroids are transversal ...

ar X iv : m at h . C O / 0 41 04 25 v 1 1 9 O ct 2 00 4 MULTI - PATH MATROIDS

We introduce the minor-closed, dual-closed class of multi-path matroids. We give a polynomial-time algorithm for computing the Tutte polynomial of a multi-path matroid, we describe their basis activities, and we prove some basic structural properties. Key elements of this work are two complementary perspectives we develop for these matroids: on the one hand, multi-path matroids are transversal ...

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES

ar X iv : m at h / 02 03 15 3 v 1 [ m at h . O C ] 1 5 M ar 2 00 2 CONTROLLABILITY OF REDUCED SYSTEMS

Sufficient conditions for the controllability of a conservative reduced system are given. Several examples illustrating the theory are also presented.

ar X iv : m at h / 03 10 27 4 v 1 [ m at h . A P ] 1 7 O ct 2 00 3 THE RADIATION FIELD IS A FOURIER INTEGRAL OPERATOR