Publications de Max-Olivier Hongler

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We construct a model of innovation diffusion that incorporates a spatial component into a classical imitation-innovation dynamics first introduced by F. Bass. Relevant for situations where the imitation process explicitly depends on the spatial proximity b ...

We propose a new real-time load sharing policy (LSP), which optimally dispatches the incoming workload according to the current availability of the operators. Optimality means here that the global service permanently requires the engagement of a minimum nu ...

In this paper, a dissipative version of the Benjamin–Ono dynamics is shown to faithfully model the collective evolution of swarms of scalar Cauchy stochastic agents obeying a follow-the-leader interaction rule. Due to the Hilbert transform, the swarm dynam ...

We consider queueing networks (QN) with feedback loops roamed by ``intelligent'' agents, able to select their routing on the basis of their measured waiting times at the QN nodes. This is an idealized model to discuss the dynamics of customers who stay loy ...

A network of coupled limit cycle oscillators with delayed interactions is considered. The parameters characterizing the oscillator’s frequency and limit cycle are allowed to self-adapt. Adaptation is due to time-delayed state variables thatmutually interac ...

The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between the pressure P, volume V, and temperature (Formula presented.) of a real gas. We assign new variable interpretations adapted to the economic context: (Formula p ...

Femtosecond-laser-written patterns at the surface of brittle materials may show at random times spontaneous alternations from regular to disordered structures and vice versa. Here, we show that these random transitions carry relevant statistical informatio ...

We study the market partition between two distinct firms that deliver services to waiting-time sensitive customers. In our model, the incoming customers select a firm on the basis of its posted price, the expected waiting time and its brand. More specifica ...

. We revisit the two-armed bandit (TAB) problem where both arms are driven by diffusive stochastic processes with a common instantaneous reward. We focus on situations where the Radon-Nikodym derivative between the transition probability densities of the f ...

We study the dynamics of a network consisting of N diffusively coupled, stable- limit-cycle oscillators on which individual frequencies are parametrized by

w_k, k = 1, . . . ,N

. We introduce a learning rule which influences the wk by driving the system t ...

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the age ...

This paper is based on the premise that economic growth is driven by an interplay between innovation and imitation in an economy composed of interacting ̄rms operating in a stochastic environment. A novel approach to modeling imitation is presented based o ...

In 1943 Yves Rocard published an amazing book entitled "Dynamique Generale des Vibrations". Among a collection of mechanical devices that are studied with great care in the book, the so-called Bouasse-Sarda's "tournebroche" (rotary grill spit) is a fascina ...

We discuss the adaptive behaviour of a collection of heterogeneous dynamical systems interacting via a weighted network. At each vertex, the network is endowed with a dynamical system with individual (initially different) control parameters governing the l ...

We analytically study the collective dynamics of mutually interacting heterogeneous agents evolving in a random environment. Our formal framework consists of a collection of JV scalar drifted Brownian motions (BM) diffusing on R. The mutual interactions ar ...

For recurrent service providers (fast-food, entertainment, medical care,...), retaining loyal customers is obviously a key issue. The customers' loyalty essentially depends on their service satisfaction defined via an ad-hoc utility function. Among several ...

We propose a microscopic model to describe how individual opinions shared between interacting agents initiate excessive collective expectations about a new idea or an innovation, followed by a swift collapse towards a dramatic collective disillusionment. T ...

Max-Olivier Hongler

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Spatio-Temporal Patterns for a Generalized Innovation Diffusion Model

Multi-Agent Adaptive Mechanism Leading to Optimal Real-Time Load Sharing

Cauchy Processes, Dissipative Benjamin–Ono Dynamics and Fat-Tail Decaying Solitons

Cooperative Dynamics of Loyal Customers in Queueing Networks

Time-Delayed Interactions in Networks of Self-Adapting Hopf Oscillators

Nonlinear Economic State Equilibria via van der Waals Modeling

Unraveling Brittle-Fracture Statistics from Intermittent Patterns Formed During Femtosecond Laser Exposure

Market Sharing Dynamics Between Two Service Providers

AN EXACT BANDIT MODEL FOR THE RISK-VOLATILITY TRADEOFF

Networks of mixed canonical-dissipative systems and dynamic hebbian learning

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Imitation, Proximity, and Growth - A Collective Swarm Dynamics Approach

How Chaotic Dynamics Drive a Vintage Grill-Room Spit

Networks of Self-Adaptive Dynamical Systems

Soft control of swarms: Analytical approach

Super-Diffusive Noise Source in Asset Dynamics

Weariness and Loyalty Loss in Recurrent Service Models

Soluble models for dynamics driven by super-diffusive noise

Opinion formation dynamics - Swift collective disillusionment triggered by unmet expectations

Modeling Human activity in the spirit of Barabasi's queueing systems