The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

A study led by researchers at North Carolina State University developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the ...

In 1944, Freeman Dyson defined the concept of rank of an integer partition and introduced without definition the term of crank of an integer partition. A definition for the crank satisfying the ...

This is a preview. Log in through your library . Abstract We introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the ...

My research interests are at the intersection of analytic number theory and combinatorics. I study properties of modular forms with applications to partition functions. Incongruences for modular forms ...

A study has developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the partition function. A study led by researchers at ...