Supervisor: Prof. M. Reza Rahimi Tabar

In this research, we deployed a new, yet superior method to reveal the drift, diffusion and jumps from moments of data which proves to be more accurate and faster than methods in literature. All the results, including extensive numerical simulations was generated by Python, and they were double-checked by Mathematica. This method uses Hermite Poly-nomials to find the best basis to approximate the function of kramers-Moyal’s coefficient. We applied advanced statistical techniques to derive the theory, which helped the theory to become robust to tail perturbations.

Sharif University of Technology

Jul 2024 - Ongoing

Supervisor: Prof. M. Reza Rahimi Tabar

Smooth multidimensional dynamics all can be decomposed into a network of self loops, pairwise interactions, and higher order interactions which proves to be critical in understanding behavior of systems. Our team developed a far more accurate and faster method that can reveal higher order interactions and my python codes show that out method in estimation is nearer to real parameters than other methods.

Sharif University of Technology

Sep 2024 - Ongoing

Supervisor: Prof. Shahin Rouhani

Our team used enhanced numerical methods to analyze the interaction network of exchange rates. I solved the problems of fake causality detection of usual correlation detection methods with theory of Kramers-Moyal’s expansions and my codes revealed the best fitting dynamics which show the interactions between Crypto-Fiats and help us to undrestand the network of them.

Sharif University of Technology

Jul 2024 - Ongoing

Supervisor: Prof. M. Reza Rahimi Tabar

In this paper, we explore the application of stochastic processes to economic modeling, emphasizing the intersection of physics and economics. It aims to provide a comprehensive overview of how concepts from statistical mechanics and probability theory can be utilized to analyze complex economic systems, particularly in understanding market behaviors, risk management, and forecasting. By detailing various models such as Brownian motion, Markov chains, and agent-based models, the work highlights the importance of randomness and uncertainty in economic phenomena, advocating for a more nuanced approach to economic analysis that incorporates these elements for better predictive accuracy and robustness in decision-making.

Content: GitHub

Sharif University of Technology

Jul 2024 - Ongoing

Supervisor: Prof. Ali Hosseiny

In this research, we investigated the wealth distribution of a society of ten thousand people in a thousand years. Our method is nearer to the real world data than others; Because we used the life-cycle model for people which is not in the 10% reachest people in our sample data.

Shahid Beheshti University

Jan 2024 - March 2024

Supervisor: Prof. M Reza Rahimi Tabar

Calculation the distribution function of stochastic data, especially economic and financial. Checking the number of moments that can be calculated for the number of data. Finding the second stationarity of the data in two ways and calculating the length of the stationarity. Finding Kramers-Moyal coefficients (drift, diffusion and jump) by two methods and comparing the methods with each other and plotting them along with the error bar. Solving the analysis of several questions related to stochastic processes.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Apr 2024

Supervisor: Prof. M Reza Rahimi Tabar

Calculation of Kramers-Moyal coefficients for higher dimensions and interactions between multiple time series. Estimating Kramers-Moyal conditional coefficients using statistical moments. Find the higher order interaction matrix.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Apr 2024

Supervisor: Prof. Saman Moghimi Araghi

Calculation the interconnectedness of friendship networks and educational networks among students, emphasizing how these relationships influence academic collaboration and knowledge sharing. The purpose is to provide insights that can help educators and policymakers enhance collaborative learning environments and optimize resource allocation within academic institutions.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Oct 2023

Supervisor: Prof. Saman Moghimi Araghi

Examining complex graphs such as the small world, Barabasi Albert and... . Also finding their characteristics and features.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Oct 2023

Supervisor: Prof. Shahin Rouhani

Calculation social interactions within songbird communities using graph theory. It applies network analysis to study bird vocalizations and interactions, visualizes the social network, and calculates key metrics such as density, transitivity, and clustering to understand the birds' social structure.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Spring 2023

Supervisor: Prof. Farhad Nili

Investigating how data can be transformed into valuable assets in the banking sector, specifically using Saman Bank in Iran as a case study. It discusses strategies for data-driven decision-making, creating sustainable value, and turning data into commercial products, while emphasizing the importance of data management for long-term success in the banking industry.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2023

Supervisor: Dr. M. Javad Dashtimanesh

Investigating the development of higher education in Iran and its impact on the gender gap in education, analyzing factors such as access to universities and years of education using econometric models. Its purpose is to investigate how higher education growth influences gender equality, with a focus on whether educational opportunities have benefited men and women differently.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2023

Supervisor: Prof. Farhad Nili

Investigating the industrialization patterns of England and the United States, examining factors such as economic freedom, labor systems, and government policies that shaped their unique paths during the Industrial Revolution. The purpose is to provide insights into how these countries developed distinct industrial models that influenced their economic and social structures, with lasting global impacts.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Spring 2022

Supervisor: Prof. A. Mahmoudzadeh

Investigating the role of government in promoting economic growth by analyzing various fiscal, monetary, and regulatory policies. Its purpose is to evaluate how different government interventions, such as public investments and regulatory frameworks, impact long-term economic development, balancing growth with potential risks like inflation or debt accumulation.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Spring 2023

Supervisor: Prof. A. Mahmoudzadeh

Investigating the international dimensions of climate change policies, focusing on how developed countries outsource pollution and strategies for mitigating greenhouse gas emissions in low- and middle-income countries. Its purpose is to highlight the complexities of global environmental responsibility, emphasizing the need for cooperation between nations to achieve effective and equitable climate solutions.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Spring 2023

Supervisor: Dr. Tajrishy

Investigating the determination of minimum wage rates and their implications on the labor market, focusing on the balance between preventing exploitation and maintaining employment levels. Its purpose is to analyze the effects of minimum wage policies on economic conditions, worker welfare, and the dynamics between workers, employers, and the government.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2022

Supervisor: Prof. Faraji

Investigating systems with periodic boundary conditions in both two and three dimensions, focusing on the mathematical and computational techniques used to analyze the dynamics of particles and waves in these constrained environments. The purpose is to derive and solve governing equations, providing insights into the behavior of these systems while emphasizing the interplay between analytical and numerical methods in understanding complex geometries.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2023

Supervisor: Prof. Esfandiar

Investigating the significance of 21-centimeter radiation in astrophysics, focusing on its role in probing the interstellar medium and understanding cosmic structures through the study of neutral hydrogen atoms. The purpose of the article is to highlight the techniques used in observing this radiation and its implications for cosmology, including insights into the universe's expansion and the formation of galaxies.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Spring 2022

Supervisor: Prof. Yas Hosseini Tehrani

presents a two-stage amplifier designed to achieve a high gain of 500, which is significant for enhancing signal strength in various applications. Its purpose is to contribute to advancements in amplifier technology, potentially improving performance in electronic devices that require robust signal amplification.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2022

Supervisor: Prof. Shant Baghram

Investigation the application of Green's functions in the context of electrostatics, specifically focusing on the potential distribution in conductors, such as spherical metal shells with varying potentials across their hemispheres. The purpose is to derive the Green function for a sphere, which is essential for solving problems involving point charges and understanding the behavior of electric fields in conductive materials.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2022

Supervisor: Prof. Bahman Abadi

Investigation the application of Euler's method in solving non-linear systems of differential equations, emphasizing its sensitivity to initial conditions and time step variations. The purpose is to illustrate the challenges and behaviors encountered in numerical solutions, particularly in chaotic systems, while adhering to the principles of energy conservation.

Codes &/or Documents: GitHub Repo

Sharif University of Technology

Fall 2022