24 citations · 64 across the 16 of their papers we have counts for
16 papers
Choquet integration with submodular function on measurable space with sigma-algebra generating chain
Tetsuya Hattori
Based on a study of a formula representing submodular set function as a supremum of measures dominated by the set function, we present a corresponding formula for a Choquet integra…
An elementary proof of representation of submodular function as an supremum of measures on -algebra with totally ordered generating class
Tetsuya Hattori
We give an alternative proof of a fact that a finite continuous non-decreasing submodular set function on a measurable space can be expressed as a supremum of measures dominated by…
Cancellation of fluctuation in stochastic ranking process with space-time dependent intensities,
Tetsuya Hattori
We consider the stochastic ranking process with space-time dependent unbounded jump rates for the particles. We prove that the joint empirical distribution of jump rate and scaled…
Doubly uniform complete law of large numbers for independent point processes
Tetsuya Hattori
We prove a law of large numbers in terms of complete convergence of independent random variables taking values in increments of monotone functions, with convergence uniform both in…
Point process with last-arrival-time dependent intensity and 1-dimensional incompressible fluid system with evaporation
Tetsuya Hattori
We consider an infinite system of quasilinear first-order partial differential equations, generalized to contain spacial integration, which describes an incompressible fluid mixtur…
Stochastic ranking process with space-time dependent intensities
Tetsuya Hattori, Seiichiro Kusuoka
We consider the stochastic ranking process with space-time dependent jump rates for the particles. The process is a simplified model of the time evolution of the rankings such as s…