2 problems

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Local fitting conjecture for analytic germs by pressures of locally constant potentials
Local fitting conjecture. Any reasonable analytic germ of finite level can be fitted locally by the pressure function of some locally constant potential, provided that the number o…
Conjectureopenpressure-functions symbolic-dynamics thermodynamic-formalismarXiv posted 2 days ago
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The higher-dimensional singular value pressure inequality
Higher-dimensional singular value pressure conjecture. For each $d\geq 1$ , there exist an integer $n(d)$ and a continuous function $\hat{K}_d\colon(0,+\infty)\to(0,+\infty)$ such t…
Conjectureopendynamical-systems matrix-products pressure-functionsarXiv posted 2 days ago

Local fitting conjecture for analytic germs by pressures of locally constant potentials