The continuous time random walk, still trendy: fifty-year history, state of art and outlook

R Kutner, J Masoliver - The European Physical Journal B, 2017 - Springer
In this article we demonstrate the very inspiring role of the continuous-time random walk
(CTRW) formalism, the numerous modifications permitted by its flexibility, its various …

Econophysics and sociophysics: Their milestones & challenges

R Kutner, M Ausloos, D Grech, T Di Matteo… - Physica A: Statistical …, 2019 - Elsevier
In this review article we present some of achievements of econophysics and sociophysics
which appear to us the most significant. We briefly explain what their roles are in building of …

Multifractal cross-correlations of bitcoin and ether trading characteristics in the post-COVID-19 time

M Wątorek, J Kwapień, S Drożdż - Future Internet, 2022 - mdpi.com
Unlike price fluctuations, the temporal structure of cryptocurrency trading has seldom been a
subject of systematic study. In order to fill this gap, we analyse detrended correlations of the …

Universality of market superstatistics

M Denys, T Gubiec, R Kutner, M Jagielski, HE Stanley - Physical Review E, 2016 - APS
We use a key concept of the continuous-time random walk formalism, ie, continuous and
fluctuating interevent times in which mutual dependence is taken into account, to model …

1996–2016: Two decades of econophysics: Between methodological diversification and conceptual coherence

C Schinckus - The European Physical Journal Special Topics, 2016 - Springer
This article aimed at presenting the scattered econophysics literature as a unified and
coherent field through a specific lens imported from philosophy science. More precisely, I …

Between complexity of modelling and modelling of complexity: An essay on econophysics

C Schinckus - Physica A: Statistical Mechanics and its Applications, 2013 - Elsevier
Econophysics is an emerging field dealing with complex systems and emergent properties.
A deeper analysis of themes studied by econophysicists shows that research conducted in …

Directed continuous-time random walk with memory

J Klamut, T Gubiec - The European Physical Journal B, 2019 - Springer
In this paper, we are addressing the old problem of long-term nonlinear autocorrelation
function versus short-term linear autocorrelation function. As continuous-time random walk …

Continuous time random walks with memory and financial distributions

M Montero, J Masoliver - The European Physical Journal B, 2017 - Springer
We study financial distributions from the perspective of Continuous Time Random Walks
with memory. We review some of our previous developments and apply them to financial …

Intra-day variability of the stock market activity versus stationarity of the financial time series

T Gubiec, M Wiliński - Physica A: Statistical Mechanics and its Applications, 2015 - Elsevier
In this paper we propose a new approach to a well-known phenomena of intra-day activity
pattern on the stock market. We suggest that seasonality of inter-transaction times has a …

Parrondo-like behavior in continuous-time random walks with memory

M Montero - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
The continuous-time random walk (CTRW) formalism can be adapted to encompass
stochastic processes with memory. In this paper we will show how the random combination …