Random Copolymers

DOI10.1007/978-3-319-17674-1_1zbMath1347.60135OpenAlexW4230425010MaRDI QIDQ2809483

Erwin Bolthausen

Publication date: 30 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17674-1_1

zbMATH Keywords

universalitydirected polymersrandom environmentlarge deviation principleslocalization-delocalization phenomenaphase transisionrandom copolymers

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Processes in random environments (60K37)

Related Items (2)

Pinning and disorder relevance for the lattice Gaussian free field ⋮ Disorder and critical phenomena: the \(\alpha =0\) copolymer model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The weak coupling limit of disordered copolymer models
• New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
• The martingale approach to disorder irrelevance for pinning models
• Quenched large deviation principle for words in a letter sequence
• Directed polymers in random environment are diffusive at weak disorder
• The effect of disorder on polymer depinning transitions
• A replica-coupling approach to disordered pinning models
• Disordered pinning models and copolymers: Beyond annealed bounds
• Copolymers at selective interfaces: New bounds on the phase diagram
• Localization transition for a polymer near an interface
• Directed polymers in a random environment: Path localization and strong disorder
• A heteropolymer near a linear interface
• Transversal fluctuations for increasing subsequences on the plane
• A note on the diffusion of directed polymers in a random environment
• On the partition function of a directed polymer in a Gaussian random environment
• Concentration of measure and isoperimetric inequalities in product spaces
• Diffusion of directed polymers in a random environment.
• A copolymer near a selective interface: variational characterization of the free energy
• The critical curves of the random pinning and copolymer models at weak coupling
• Conditional large deviations for a sequence of words
• A numerical approach to copolymers at selective interfaces
• On the localization transition of random copolymers near selective interfaces
• Marginal relevance of disorder for pinning models
• Fractional moment bounds and disorder relevance for pinning models

This page was built for publication: Random Copolymers