68 citations · 519 across the 21 of their papers we have counts for
4 papers · 1 filter
Optimal wall-to-wall transport by incompressible flows
Ian Tobasco, Charles R. Doering
We consider wall-to-wall transport of a passive tracer by divergence-free velocity vector fields . Given an enstrophy budget $\langle |\nabla \mathbf{u}|^{2} \rangle \l…
Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper, we study the Crisanti-Sommers variational problem, which is a variational formula for the free energy of spherical mixed -spin glasses. We begin by computing the…
Axial compression of a thin elastic cylinder: bounds on the minimum energy scaling law
Ian Tobasco
We consider the axial compression of a thin elastic cylinder placed about a hard cylindrical core. Treating the core as an obstacle, we prove upper and lower bounds on the minimum…
Low Temperature Asymptotics in Spherical Mean Field Spin Glasses
Aukosh Jagannath, Ian Tobasco
In this paper, we study the low temperature limit of the spherical Crisanti-Sommers variational problem. We identify the -limit of the Crisanti-Sommers functionals, thereby esta…