Co-Compact Separation Axioms and Slight Co-Continuity

On bD-Sets and Associated Separation Axioms

Adaptive co-channel speech separation and recognition

An improved technique of co-channel speech separation, S-AADF/LMS, and its integration with automatic speech recognition is presented. The S-AADF/LMS technique is based on the algorithms of accelerated adaptive decorrelation filtering (AADF) and LMS noise cancellation, where a switching between the two algorithms is made depending upon the active/inactive status of the co-channel signal sources...

Preserving continuity by Zadeh extension and invariance of separation axioms under surjections

This note provides conditions under which Zadeh extension of a map between L -topological spaces preserves semicontinuity and continuity of functions with values in the L-unit interval. Invariance of complete L-regularity under continuous open–closed surjections is established among others. © 2012 Elsevier B.V. All rights reserved.

The Entropy of Co-Compact Open Covers

Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required). This is achieved through the consideration of co-compact covers of the space. The advantages of co-compact entropy include: (1) it does not require the space to be compact and, thus, generalizes Adler, Konhe...

Random Walks on Co-compact Fuchsian Groups

It is proved that the Green’s function of a symmetric finite range randomwalk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also shown that Ancona’s inequalities extend to R, and therefore that the Martin boundary for R−potentials coincides with the natural geometric boundary S, and that the Martin kernel is uniformly Hölder continuous. Fi...