252 citations · 961 across the 42 of their papers we have counts for
4 papers · 1 filter
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
Tianran Chen, Robert Davis
The free sum is a basic geometric operation among convex polytopes. This note focuses on the relationship between the normalized volume of the free sum and that of the summands. In…
Counting equilibria of the Kuramoto model using birationally invariant intersection index
Tianran Chen, Robert Davis, Dhagash Mehta
Synchronization in networks of interconnected oscillators is a fascinating phenomenon that appear naturally in many independent fields of science and engineering. A substantial amo…
Aging, memory, and nonhierarchical energy landscape of spin jam
Anjana Samarakoon, Taku J. Sato, Tianran Chen +5
The notion of complex energy landscape underpins the intriguing dynamical behaviors in many complex systems ranging from polymers, to brain activity, to social networks and glass t…
Unmixing the mixed volume computation
Tianran Chen
Computing mixed volume of convex polytopes is an important problem in computational algebraic geometry. This paper establishes sufficient conditions under which the mixed volume of…