activity
20022022
most citedHomogeneous algebras

73 citations · 80 across the 7 of their papers we have counts for

collaborators

8 papers

q-fin.GN2022

Financial Markets and the Real Economy: A Statistical Field Perspective on Capital Allocation and Accumulation

Pierre Gosselin, Aïleen Lotz, Marc Wambst

This paper provides a general method to directly translate a classical economic framework with a large number of agents into a field-formalism model. This type of formalism allows…

q-bio.NC2020★ 1 cited

Statistical Field Theory and Networks of Spiking Neurons

Pierre Gosselin, Aïleen Lotz, Marc Wambst

This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statist…

q-fin.GN2019

A Statistical Field Approach to Capital Accumulation

Pierre Gosselin, Aïleen Lotz, Marc Wambst

This paper presents a model of capital accumulation for a large number of heterogenous producer-consumers in an exchange space in which interactions depend on agents' positions. Ea…

econ.GN2018

A Path Integral Approach to Business Cycle Models with Large Number of Agents

Aïleen Lotz, Pierre Gosselin, Marc Wambst

This paper presents an analytical treatment of economic systems with an arbitrary number of agents that keeps track of the systems' interactions and agents' complexity. This formal…

math.CT2015★ 6 cited

On some properties of the category of cocommutative Hopf algebras

Christine Vespa, Marc Wambst

By a recent work of Gran-Kadjo-Vercruysse, the category of cocommutative Hopf algebras over a field of characteristic zero is semi-abelian. In this paper, we explore some propertie…

math.QA2007

Non-Abelian Hopf Cohomology II -- the General Case --

Philippe Nuss, Marc Wambst

We introduce and study non-abelian cohomology sets of Hopf algebras with coefficients in Hopf comodule algebras. We prove that these sets generalize as well Serre's non-abelian gro…