Periodic Schur process and cylindric partitions

Periodic Schur process is a generalization of the Schur process introduced in [OR1]. We compute its correlation functions and their bulk scaling limits, and we discuss several applications, including asymptotic analysis of uniform measures on cylindric partitions, time-dependent extensions of the discrete sine kernel, and bulk limit behavior of certain measures on partitions introduced in [NO] in connection with supersymmetric gauge theories