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By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

Quantum Physics · Physics 2009-08-07 Adrian A. Budini Paolo Grigolini

Moving in dynamic pedestrian environments is one of the important requirements for autonomous mobile robots. We present a model-based reinforcement learning approach for robots to navigate through crowded environments. The navigation policy…

Robotics · Computer Science 2020-11-10 Yuxiang Cui , Haodong Zhang , Yue Wang , Rong Xiong

Consider an open quantum system with (discrete-time) Markovian dynamics. Our task is to store information in the system in such a way that it can be retrieved perfectly, even after the system is left to evolve for an arbitrarily long time.…

Quantum Physics · Physics 2025-11-19 Satvik Singh , Mizanur Rahaman , Nilanjana Datta

Multiplex networks are a common modeling framework for interconnected systems and multimodal data, yet we still lack fundamental insights for how multiplexity affects stochastic processes. We introduce a novel ``Markov chains of Markov…

Physics and Society · Physics 2020-08-05 Dane Taylor

The conformational and dynamical properties of active Brownian polymers embedded in a fluid depend on the nature of the driving mechanism, e.g., self-propulsion or external actuation of the monomers. Implementations of self-propelled and…

Soft Condensed Matter · Physics 2022-01-24 Judit Clopés Llahí , Aitor Martín-Gómez , Gerhard Gompper , Roland G. Winkler

Autonomous robots navigating in changing environments demand adaptive navigation strategies for safe long-term operation. While many modern control paradigms offer theoretical guarantees, they often assume known extrinsic safety…

Robotics · Computer Science 2024-04-24 Jingxing Qian , Siqi Zhou , Nicholas Jianrui Ren , Veronica Chatrath , Angela P. Schoellig

Estimating the transition dynamics of controlled Markov chains is crucial in fields such as time series analysis, reinforcement learning, and system exploration. Traditional non-parametric density estimation methods often assume independent…

Statistics Theory · Mathematics 2025-05-21 Imon Banerjee , Vinayak Rao , Harsha Honnappa

We present an analytical method to estimate the continuous-time collision probability of motion plans for autonomous agents with linear controlled Ito dynamics. Motion plans generated by planning algorithms cannot be perfectly executed by…

Systems and Control · Electrical Eng. & Systems 2022-05-19 Apurva Patil , Takashi Tanaka

Recent advances in learning dynamical systems from data have shown significant promise. However, many existing methods assume access to the full state of the system -- an assumption that is rarely satisfied in practice, where systems are…

Machine Learning · Computer Science 2026-03-10 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

The long-time behavior of many complex molecular systems is often governed by slow relaxation dynamics that can be described by a few reaction coordinates referred to as collective variables (CVs). However, identifying CVs hidden in a…

Chemical Physics · Physics 2024-09-26 Jakub Rydzewski , Tuğçe Gökdemir

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

Collections of simple, self-propelled colloidal particles exhibit complex, emergent dynamical behavior, with promising applications in microrobotics. When confined within a deformable vesicle, self-propelled rods cluster and align,…

Soft Condensed Matter · Physics 2025-10-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

Artificial Intelligence · Computer Science 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

The Markovian dynamics of a qubit is investigated in the scheme of random unitary dynamics, where Kraus operators are changed by an extra noise. The behavior of Markovianity is explored in the perturbed scenario. We provide a new algorithm…

Quantum Physics · Physics 2017-06-07 Filip A. Wudarski , Francesco Petruccione

Micro-scale swimming robots have been envisaged for many medical applications such as targeted drug delivery, where the microrobot will be expected to navigate in a fluid through channels carrying a payload. Alternatively, in many cases,…

Soft Condensed Matter · Physics 2019-09-13 Jake Buzhardt , Phanindra Tallapragada

We introduce and test a general machine-learning-based technique for the inference of short term causal dependence between state variables of an unknown dynamical system from time series measurements of its state variables. Our technique…

Adaptation and Self-Organizing Systems · Physics 2020-12-18 Amitava Banerjee , Jaideep Pathak , Rajarshi Roy , Juan G. Restrepo , Edward Ott

We study the dynamics of inertial active particles in a one-dimensional chain with harmonic nearest-neighbor interactions, highlighting the interplay of persistence, interaction, and inertial timescales. Using a Green's function approach,…

Statistical Mechanics · Physics 2026-04-07 Manish Patel , Subhajit Paul , Debasish Chaudhuri

Quantum information processing relies on how dynamics unfold in open quantum systems. In this work, we study the non-Markovian dynamics in the single mode spin-boson model at strong couplings. In order to apply perturbation theory, we…

Quantum Physics · Physics 2025-01-03 Rayees A Mala , Mehboob Rashid , Muzaffar Qadir Lone

Untethered magnetic millirobots offer significant potential for minimally invasive cardiac therapies; however, achieving reliable autonomous control in pulsatile cardiac flow remains challenging. This work presents a vision-guided control…

We study the continuous-variable (CV) quantum teleportation protocol in the case that one of the two modes of the shared entangled resource is sent to the receiver through a Gaussian Quantum Brownian Motion noisy channel. We show that if…

Quantum Physics · Physics 2018-05-10 Gianpaolo Torre , Fabrizio Illuminati