We construct an axiomatic index of spatial concentration around a center or capital point of interest, a concept with wide applicability from urban economics, economic geography and trade, to political economy and industrial organization. We propose basic axioms (decomposability and...

In order to explain the apparently paradoxical presence of acceptable governance in many non-democratic regimes, economists and political scientists have focused mostly on institutions acting as de facto checks and balances. In this paper, we propose that population plays a similar role in...

In order to explain the apparently paradoxical presence of acceptable governance in many non-democratic regimes, economists and political scientists have focused mostly on institutions acting as de facto checks and balances. In this paper, we propose that population plays a similar role in...

We construct an axiomatic index of spatial concentration around a center or capital point of interest, a concept with wide applicability from urban economics, economic geography and trade, to political economy and industrial organization. We propose basic axioms (decomposability and...

We examine symmetric extensions of symmetric Markov processes with one boundary point. Relationship among various normalizations of local times, entrance laws and excursion laws is studied. Dirichlet form characterization of elastic one-point reflection of symmetric Markov processes is derived....

In this paper, we consider a large class of subordinate Brownian motions X via subordinators with Laplace exponents which are complete Bernstein functions satisfying some mild scaling conditions at zero and at infinity. We first discuss how such conditions govern the behavior of the subordinator...

We prove an Itô’s formula for Walsh’s Brownian motion in the plane with angles according to a probability measure μ on [0,2π[. This extends Freidlin–Sheu formula which corresponds to the case where μ has finite support. We also give some applications.