79 citations · 887 across the 44 of their papers we have counts for
44 papers
Stiffness of random walks with reflecting boundary conditions
Sascha Kaldasch, Andreas Engel
We study the distribution of occupation times for a one-dimensional random walk restricted to a finite interval by reflecting boundary conditions. At short times the classical bimo…
Aspects of a phase transition in high-dimensional random geometry
Axel Prüser, Imre Kondor, Andreas Engel
A phase transition in high-dimensional random geometry is analyzed as it arises in a variety of problems. A prominent example is the feasibility of a minimax problem that represent…
Stiffness of Probability Distributions of Work and Jarzynski Relation for Initial Microcanonical and Energy Eigenstates
Lars Knipschild, Andreas Engel, Jochen Gemmer
We consider closed quantum systems (into which baths may be integrated) that are driven, i.e., subject to time-dependent Hamiltonians. As a starting point we assume that, for syste…
Work statistics in the periodically driven quartic oscillator: classical versus quantum dynamics
Mattes Heerwagen, Andreas Engel
In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we stud…
Large systems of random linear equations with non-negative solutions: Characterizing the solvable and unsolvable phase
Stefan Landmann, Andreas Engel
Large systems of linear equations are ubiquitous in science. Quite often, e.g. when considering population dynamics or chemical networks, the solutions must be non-negative. Recent…
On non-negative solutions to large systems of random linear equations
Stefan Landmann, Andreas Engel
Systems of random linear equations may or may not have solutions with all components being non-negative. The question is, e.g., of relevance when the unknowns are concentrations or…