7 citations · 12 across the 7 of their papers we have counts for
8 papers
Gluing Formula for the Pseudo-Determinant of Graph Laplacian and Applications to Counting of Spanning Trees
Shivjyot Brar, Sheng-Chang Chen, Sayonita Ghosh Hajra +1
In this paper, we establish a gluing formula for the pseudo-determinant of the Laplacian on a simple finite graph. We achieve this by using the gluing formula for the determinant o…
Effect of Graph Gluing on Consensus in Networked Multi-Agent Systems
Rohollah Moghadam, Santosh Kandel
In this paper, the effects of graph gluing operations in networks of multi-agent systems and their impact on system performance are investigated. In many practical applications, mu…
Combinatorial QFT on graphs: first quantization formalism
Ivan Contreras, Santosh Kandel, Pavel Mnev +1
We study a combinatorial model of the quantum scalar field with polynomial potential on a graph. In the first quantization formalism, the value of a Feynman graph is given by a sum…
On enumerative problems for maps and quasimaps: freckles and scars
Olga Chekeres, Santosh Kandel, Andrey Losev +3
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps…
Ruelle zeta function from field theory
Charles Hadfield, Santosh Kandel, Michele Schiavina
We propose a field-theoretic interpretation of Ruelle zeta function, and show how it can be seen as the partition function for theory when an unusual gauge fixing condition on…
Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing
Santosh Kandel, Pavel Mnev, Konstantin Wernli
We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits in…
Asymptotic Analysis Of Determinant Of Discrete Laplacian
Yuhang Hou, Santosh Kandel
In this paper, we study the relation between the partition function of the free scalar field theory on hypercubes with boundary conditions and asymptotics of discrete partition fun…
Functorial Quantum Field Theory in the Riemannian setting
Santosh Kandel
We construct examples of Functorial Quantum Field Theories in the Riemannian setting by quantizing free massive bosons.