Category: Pure mathematics
Cohomological equation solved under a periodic-cycle condition
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What the study found For a jointly integrable partially hyperbolic diffeomorphism on a 3-manifold with virtually solvable fundamental group, the cohomological equation has a continuous solution if and only if the function ϕ has trivial periodic cycle functional. Why the authors say this matters The abstract does not state an explicit broader implication or application.…
Entrywise preservers of sign regularity are fully characterized
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What the study found The authors give complete characterizations of entrywise transforms of rectangular matrices that preserve sign regularity and strict sign regularity, including versions with a specified sign pattern. Why the authors say this matters The study suggests these results extend earlier work on matrix positivity and on totally positive and totally non-negative matrices,…
