The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Fluctuation Properties of the TASEP with Periodic Initial Configuration
Open accessAbstract
Abstract We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a kernel defining a signed determinantal point process. We then consider certain periodic initial conditions and determine the kernel in the scaling limit. This result has been announced first in a letter by one of us (Sasamoto in J. Phys. A 38:L549–L556, 2005) and here we provide a self-contained derivation. Connections to last passage directed percolation and random matrices are also briefly discussed.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Dynamic Scaling of Growing Interfaces
Kardar, M., Parisi, G., & Zhang, Y.-C. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.889 · Cited by 5,380
Fractal Concepts in Surface Growth
Barabási, A. L., & Stanley, H. E. (1995) · doi:10.1017/cbo9780511599798 · Cited by 3,925
Fractal Concepts in Surface Growth
Barabasi, A. L., Stanley, H. E., & Sander, L. M. (1995) · Physics Today · doi:10.1063/1.2808215 · Cited by 3,290
Stochastic Differential Equations
Øksendal, B. (2003) · Universitext · doi:10.1007/978-3-642-14394-6_5 · Cited by 3,081
Phase transitions and critical phenomena
Landau, D. P. (1999) · Computing in Science & Engineering · doi:10.1109/mcise.1999.790580 · Cited by 2,420
Level-spacing distributions and the Airy kernel
Tracy, C. A., & Widom, H. (1994) · Communications in Mathematical Physics · doi:10.1007/bf02100489 · Cited by 1,828
Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
Liggett, T. M. (1999) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-662-03990-8 · Cited by 1,554
Fractals, scaling and growth far from equilibrium
(1998) · Choice Reviews Online · doi:10.5860/choice.36-0383 · Cited by 1,083
A Brownian-Motion Model for the Eigenvalues of a Random Matrix
Dyson, F. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703862 · Cited by 1,046
On orthogonal and symplectic matrix ensembles
Tracy, C. A., & Widom, H. (1996) · Communications in Mathematical Physics · doi:10.1007/bf02099545 · Cited by 786
Cited by
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
Derrida, B. (2007) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2007/07/p07023 · Cited by 802
THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
CORWIN, I. (2012) · Random Matrices: Theory and Applications · doi:10.1142/s2010326311300014 · Cited by 759
One-Dimensional Kardar-Parisi-Zhang Equation: An Exact Solution and its Universality
Sasamoto, T., & Spohn, H. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.230602 · Cited by 451
Self-citationGrowing interfaces uncover universal fluctuations behind scale invariance
Takeuchi, K. A., Sano, M., Sasamoto, T., & Spohn, H. (2011) · Scientific Reports · doi:10.1038/srep00034 · Cited by 301
Self-citation
Metadata
- Authors
- Borodin, A., Ferrari, P. L., Prähofer, M., & Sasamoto, T.
- Venue
- Journal of Statistical Physics
- Published
- 2007-10-06
- Volume
- 129
- Issue
- 5-6
- Pages
- 1055-1080
- ISSN
- 0022-4715 (ISSN-L)
- 1572-9613
- OpenAlex
- W2058912430
- Cited by
- 259
- References
- 18
- FWCI
- 22.70
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Fluctuation Properties of the TASEP with Periodic Initial Configuration. https://app.cochat.ai/papers/10.1007/s10955-007-9383-0
- The paper
- Borodin, A., Ferrari, P. L., Prähofer, M., & Sasamoto, T. (2007). Fluctuation Properties of the TASEP with Periodic Initial Configuration. Journal of Statistical Physics. https://doi.org/10.1007/s10955-007-9383-0
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
