An analytically solvable model of probabilistic network dynamics

Publications Conditions for neutral speciation via isolation by distance A conjugate for the Bargmann representation A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit A Regular Semiclassical Approximation for the Propagation of Wave Packets with Complex Trajectories A Semiclassical Coherent-State Propagator via Path Integrals with Intermediate States of Variable Width A semiclassical trace formula for the canonical partition function of one dimensional systems A Uniform Approximation for the Coherent States Propagator using a Conjugate Application of the Bargmann Representation An analytically solvable model of probabilistic network dynamics An Initial Value Representation for the Coherent State Propagator with Complex Trajectories Biodiversity, species interactions and ecological networks in a fragmented world Boundary integral method for quantum billiards in a constant magnetic field Build-up mechanisms determining the topology of mutualistic networks. Chaos and pattern formation in a spatial tritrophic food chain Chaos in one-dimensional lattices under intense laser fields Chaotic signature in the motion of coupled carbon nanotube oscillators Chaotic-to-regular transition in a semiclassical electron gas Classical Chaos as an Enviroment for Dissipation Chaos Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems Coherent State Path Integrals in the Weyl Representation Comment on Semiclassical approximations in phase space with coherent states By Frank Grossmann and Michael F Herman Comment on Semiclassical approximations in phase space with coherent states Complex Trajectories in the Quartic Oscillator and Its Semiclassical Coherent-State Propagator Controlling Phase Space Caustics in the Semiclassical Coherent State Propagator Effects of finite temperature in ballistic quantum dots Eigenfunctions of the Liouville Operator, Periodic Orbits and the Principle of Uniformity Eigenvalues and eigenfunctions of billiards in a constant magnetic field Einstein e a teoria do caos quântico Energy Dissipation Via Coupling With a Finite Chaotic Environment Energy transfer dynamics and thermalization of two oscillators interacting via chaos Entanglement and chaos in a square billiard with magnetic field Especiação espontânea em populações espacialmente distribuidas e padrões de diversidade Evaluation of the semiclassical coherent state propagator in the presence of phase space caustics Evolution in Spatial Predator-Prey Models and the Prudent Predator: The Inadequacy of Steady-State Organism Fitness and the Concept of Individual and Group Selection Evolutionary consequences of assortativeness in haploid genotypes Generalized coherent states for the double-well potential Global patterns of speciation and diversity Home range evolution and its implication in population outbreaks Host-parasitoid persistence over variable spatio-temporally susceptible habitats: bottom-up effects of ephemeral resources Impacts of enemy-mediated effects and the additivity of interactions in an insect trophic system Initial value representation for the SU(n) semiclassical propagator Interplay between Turing pattern formation and domain coarsening in spatially extended population models Invasion and Extinction in the Mean Field Approximation for a Spatial Host-Pathogen Model Mean Field Approximation To a Spatial Host-Pathogen Model Multilevel and kin selection in a connected world Near equilibrium dynamics of nonhomogeneous Kirchhoff filaments in viscous media O papel do espaço em modelos ecológicos On the one-dimensional helium atom Orbital magnetism in ensembles of parabolic potentials Patch exploitation strategies of parasitoids: the role of sex ratio and forager’s interference in structuring metapopulations Pattern formation, outbreaks and synchronization in food chains with two and three species Periodic orbits in magnetic billiards Phase space flow in the Husimi representation Phase-Space Approach to the Tunnel Effect: A New Semiclassical Traversal Time Predicting economic market crises using measures of collective panic Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach Quantum linear mutual information and classical correlations in globally pure bipartite systems Quantum-classical correspondence in the phase control of multiphoton dissociation by two-color laser pulses Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior Reply to Comment on Semiclassical approximations in phase space with coherent states Resonant helical deformations in nonhomogeneous Kirchhoff filaments Robustness Against Extinction by Stochastic Sex Determination in Small Populations Robustness of Spontaneous Pattern Formation in Spatially Distributed Genetic Populations Scars of Periodic Orbits in the Stadium Action Billiard Scars of the Wigner Function Searching for Modular Structure in Complex Phenotypes: Inferences from Network Theory Semiclassical Approximations Based on Complex Trajectories Semiclassical approximations in phase space with coherent states Semiclassical approximations to the coherent-state propagator for a particle in a box Semiclassical coherent state propagator for systems with spin Semiclassical Husimi Functions for Spin Systems Semiclassical propagation of coherent states using complex and real trajectories Semiclassical Propagation of Wavepackets with Complex Trajectories Semiclassical propagator for SU(n) coherent states Semiclassical Tunneling of Wavepackets with Real Trajectories Short range interactions in a two-electron system: energy levels and magnetic properties Evolution and Stability of Ring Species Solving the boundary value problem for finite Kirchhoff rods Spectral Analysis and the Dynamic Response of Complex Networks Spontaneous pattern formation and genetic invasion in locally mating and competing populations Stability and instability of polymorphic populations and the role of multiple breeding seasons in phase III of Wright s shifting balance theory Synchronization and Stability in Noisy Population Dynamics The Missing Part of Seed Dispersal Networks: Structure and Robustness of Bat-Fruit Interactions The Modularity of seed dispersal: differences in structure and robustness between bat- and bird- fruit networks The Moran model as a dynamical process on networks and its implications for neutral speciation The role of predator overlap in the robustness and extinction of a four species predator-prey network The role of predator overlap in the robustness and extinction of a four species predator-prey network The role of sex separation in neutral speciation The shape of the competition and carrying capacity kernels affects the likelihood of disruptive selection Trace formula for systems with spin from the coherent state propagator Transitions Between Periodic Orbits and Control of Chaos Assisted by an External Force in Hamiltonian Systems Turing patterns and apparent competition in predator-prey food webs on networks