We prove that if Γ is a real-analytic Jordan curve in R whose total curvature does not exceed 6π, then Γ cannot bound infinitely many minimal surfaces of the topological type of the disk. This generalizes an earlier theorem of J. C. C. Nitsche, who proved the same conclusion under the additional hypothesis that Γ does not bound any minimal surface with a branch point. It should be emphasized th...

Fluctuation theorems impose fundamental bounds in the statistics of entropy production with second law thermodynamics being most famous. Using information theory, we quantify and find an upper tight bound as a function its mean from strong detailed fluctuation theorem. The is given terms maximal distribution, member exponential family nonlinear argument. We show that produced by heat transfer u...

Bezout’s theorem gives us the degree of intersection of two properly intersecting projective varieties. As two curves in P never intersect properly, Bezout’s theorem cannot be directly used to bound the number of intersection points of such curves. In this work, we bound the maximum number of intersection points of two integral ACM curves in P. The bound that we give is in many cases optimal as...