31 citations · 59 across the 17 of their papers we have counts for
23 papers
Self-repellent branching random walk
Anton Bovier, Lisa Hartung, Frank den Hollander
We consider a system of particles performing a discrete-time binary branching random walk with independent standard normal increments subject to a penalty $\b$ for every pair of pa…
From 1 to infinity: The log-correction for the maximum of variable-speed branching Brownian motion
Alexander Alban, Anton Bovier, Annabell Gros +1
We study the extremes of variable speed branching Brownian motion (BBM) where the time-dependent "speed functions", which describe the time-inhomogeneous variance, converge to the…
The phase diagram of the complex continuous random energy model: The weak correlation regime
Maximilian Fels, Lisa Hartung, Anton Klimovsky
We identify the fluctuations of the partition function of the continuous random energy model on a Galton-Watson tree in the so-called weak correlation regime. Namely, when the ``sp…
Sampling Rare Event Energy Landscapes via Birth-Death Augmented Dynamics
Benjamin Pampel, Simon Holbach, Lisa Hartung +1
A common problem that affects simulations of complex systems within the computational physics and chemistry communities is the so-called sampling problem or rare event problem wher…
Maximum of Branching Brownian Motion among mild obstacles
Lisa Hartung, Michèle Lehnen
We study the height of the maximal particle at time of a one dimensional branching Brownian motion with a space-dependent branching rate. The branching rate is set to zero in f…
The speed of invasion in an advancing population
Anton Bovier, Lisa Hartung
We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. Th…
Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length
Louis-Pierre Arguin, Guillaume Dubach, Lisa Hartung
We consider a model of the Riemann zeta function on the critical axis and study its maximum over intervals of length , where is either fixed or tends to zero at a s…
Branching Brownian motion with self repulsion
Anton Bovier, Lisa Hartung
We consider a model of branching Brownian motion with self repulsion. Self-repulsion is introduced via change of measure that penalises particles spending time in an $\e$-neighbour…
Refined Large Deviation Principle for Branching Brownian Motion Conditioned to Have a Low Maximum
Yanjia Bai, Lisa Hartung
Conditioning a branching Brownian motion to have an atypically low maximum leads to a suppression of the branching mechanism. In this note, we consider a branching Brownian motion…
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime
Maximilian Fels, Lisa Hartung
We prove convergence of the full extremal process of the two-dimensional scale-inhomogeneous discrete Gaussian free field in the weak correlation regime. The scale-inhomogeneous di…
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations
Maximilian Fels, Lisa Hartung
We continue the study of the maximum of the scale-inhomogeneous discrete Gaussian free field in dimension two. In this paper, we consider the regime of weak correlations and prove…
High points of a random model of the Riemann-zeta function and Gaussian multiplicative chaos
Louis-Pierre Arguin, Lisa Hartung, Nicola Kistler
We study the total mass of high points in a random model for the Riemann-Zeta function. We consider the same model as in [8], [2], and build on the convergence to 'Gaussian' multip…
Dynamic phase diagram of the REM
Véronique Gayrard, Lisa Hartung
By studying the two-time overlap correlation function, we give a comprehensive analysis of the phase diagram of the Random Hopping Dynamics of the Random Energy Model (REM) on time…
Decorated Random Walk Restricted to Stay Below a Curve (Supplement Material)
Aser Cortines, Lisa Hartung, Oren Louidor
We consider a one dimensional random-walk-like process, whose steps are centered Gaussians with variances which are determined according to the sequence of arrivals of a Poisson pr…
More on the Structure of Extreme Level Sets in Branching Brownian Motion
Aser Cortines, Lisa Hartung, Oren Louidor
This work is a continuation of the manuscript "the structure of extreme level sets in branching Brownian motion", in which the same authors studied the fine structure of the extrem…
Micromechanical theory of strain-stiffening of biopolymer networks
Robbie Rens, Carlos Villarroel, Gustavo Düring +1
Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior ste…
Trace reconstruction with varying deletion probabilities
Lisa Hartung, Nina Holden, Yuval Peres
In the trace reconstruction problem an unknown string is observed through the deletion channel, which deletes each with a ce…
The phase diagram of the complex branching Brownian motion energy model
Lisa Hartung, Anton Klimovsky
We complete the analysis of the phase diagram of the complex branching Brownian motion energy model by studying Phases I, III and boundaries between all three phases (I-III) of thi…
Diffusion processes on branching Brownian motion
Sebastian Andres, Lisa Hartung
We construct a class of one-dimensional diffusion processes on the particles of branching Brownian motion that are symmetric with respect to the limits of random martingale measure…
The glassy phase of the complex branching Brownian motion energy model
Lisa Hartung, Anton Klimovsky
We identify the fluctuations of the partition function for a class of random energy models, where the energies are given by the positions of the particles of the complex-valued bra…
Extended Convergence of the Extremal Process of Branching Brownian Motion
Anton Bovier, Lisa Hartung
We extend the results of Arguin et al and A\"ıdékon et al on the convergence of the extremal process of branching Brownian motion by adding an extra dimension that encodes the "loc…
Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime
Anton Bovier, Lisa Hartung
We prove the convergence of the extremal processes for variable speed branching Brownian motions where the "speed functions", that describe the time-inhomogeneous variance, lie str…
The extremal process of two-speed branching Brownian motion
Anton Bovier, Lisa Hartung
We construct and describe the extremal process for variable speed branching Brownian motion, studied recently by Fang and Zeitouni, for the case of piecewise constant speeds; in fa…