Group Theory and dynamics

1. Quasi-Random Profinite Groups (with Mohammad Bardestani) Glasgow Mathematical Journal, 57 (2015), no. 1, 181–200

2. On the Erdos-Ko-Rado property for finite Groups  (with Mohammad Bardestani)  Journal of Algebraic Combinatorics, August 2015, Volume 42, 111-128.

3. Minimal dimension of faithful representations for $p$-groups ( with Mohammad Bardestani, Hadi Salmasian)   J. Group Theory, 19, (2016), no. 4, 589-608

4. On a generalization of the Hadwiger-Nelson problem  (with Mohammad Bardestani)   Israel Journal of Mathematics. 217 (2017), no. 1, 313–335

5. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields  (M. Bardestani,  C. Karimianpour, H. Salmasian) Groups, Geometry, Dynamics , 11 (2017), 57-74

6. Amenability of trees (with Behrang Forghani)     (Groups, Graphs, and Random Walks,  London Mathematical Society Lecture Note Series 436)                                                                                                                                              

7. Asymptotic distribution of values of isotropic quadratic forms at S-integral points (with Jiyoung Han and Seonhee Lim)  Journal of Modern Dynamics, volume 11, 2017, 501-550.   

8. Positive harmonic functions of transformed random walks   (joint with Behrang Forghani) , Potential Analysis,  https://doi.org/10.1007/s11118-018-9724-4.

9. On the chromatic number of structured Cayley graphs (with Mohammad Bardestani)  Journal of Combinatorial Theory, Series A., Volume 160, November 2018, 202-216.

10. Polynomial configurations in sets of positive upper density over local fields (joint with M. Bardestani) Journal d'Analyse Mathématique, 142(1), 71-103.

11. Some applications of arithmetic groups in cryptography (joint with D. Kahrobaei, submitted) accepted for publication in Groups Complexity Cryptology

12. Kirillov's orbit method and polynomiality of the faithful dimension of p-groups (joint with M. Bardestani and H. Salmasian). Compositio Mathematica, Volume 155, Issue 8, 2019. 

13. Compactifications of horospheric products (joint with Behrang Forghani), l’Enseignement Mathématique, 68 (2022), no. 1, pp. 181–200

14. Locally random groups, (joint with Amir Mohammadi and Alireza Salehi-Golsefidy),  Michigan Mathematical Journal. 

15. Poisson representation and Furstenberg entropy of hypergroups (with Behrang Forghani),  Journal of Functional Analysis, Volume 285, Issue 9, 1 November 2023. 

16. Polynomiality Of the faithful dimension For nilpotent groups over finite truncated valuations rings (with M. Bardestani D. Rumintsau, H. Salmasian),  Transaction of the AMS

17. Asymptotic distribution for pairs of linear and quadratic forms at integral vectors ( with Jiyoung Han and Seonhee Lim) , Accepted for publication in Ergodic Theory and Dynamical Systems. 

18. Optimal linear sofic approximations of countable groups (with Maryam Mohammadi Yekta), submitted.

19. Extreme value distribution for the unipotent flow on the space of unimodular lattices (with Maxim Kirsebom), .

20. A central limit theorem for random walks on horospherical products of Gromov hyperbolic spaces (with A. Bahmanian, B. Forghani and I. Gekhtman), submitted

21. Secret sharing schemes using representation theory of finite p-grouos (with Delaram Kahrobaei), submitted. 

22. Spectral independence in compact groups, (with Alireza S Golsefidy and Amir Mohammadi) submitted. 

Applied probability

1. A variation of the Cube Model for Best-Worst choice (with Adele Diederich), Accepted for publication in  Journal of Mathematical Psychology.

2. Cube model: Predictions and account for best-worst choice situations with three choice alternatives (with Adele Deiederich),  Journal of Choice Modelling

3. Volume 49, December 2023. 

4. Decision with multiple alternatives: geometric models in higher dimensions--The Disk Model (with Adele Diederich), accepted for publication in  Journal of Mathematical Psychology, volume 100, January 20201, 102493.

5. Decision with multiple alternatives: geometric models in higher dimensions--The Cube Model (with Adele Diederich),  Journal of Mathematical Psychology

Volume 93, December 2019, 102294

6. Hedging, Pareto Optimality, and Good Deals  (with Hirbod Assa) (J. Optim. Theory Appl. 157 (2013), no. 3, 900–917)

7. Future exchange rates and Siegel's paradox (with Pedram Safari) (Journal of Global finance, Volume 37, August 2018, Pages 168-172)

8.  Quantifying the differences between the efficient and fair valuation and its implications (with Hirbod Assa and Ramin Okhrati), submitted.