Classical Latin is the language that was written and spoken by the educated Roman populace during the period of the late Republic and early Empire. Among the authors who wrote classical Latin are: Caesar, Cicero, Livy, Catullus, Vergil, and Horace. A ...

DynamicsLet $(\Omega,\mathcal{F},\mathbb{P})$ denote a complete probability space which supports a standard Brownian motion $(W_t)_{t\geq 0}$ with its natural filtration $\lbrace F_t\rbrace_{t\geq 0}$. Let $X = \lbrace X_t\rbrace_{t\geq 0}$ denote th ...

Few economic hypotheses have advanced so rapidly from the fringe to the mainstream as hyperbolic discounting, which now functions almost as a default option for analyzing the misbehavior of economic agents. The well-known distinguishing feature of hy ...

The standard approach of making investment decision is that the policy maker compares investment opportunities by their net present values (NPVs), i.e., by the sum of their discounted expected cash flows. If we assume that investment decisions are ta ...

Renyi’s parking problem (or 1D sequential interval packing problem) dates back to 1958, when Renyi studied the following random process: Consider an interval $I$ of length $x$, and sequentially and randomly pack disjoint unit intervals in $I$ until ...

One dimensional random walkLet $X_n$ denotes the step of the walker at time n, $S_n$ denotes the position of the walker at time n. We have the following relationship: S_n = x_0 + X_1 + X_2 + \cdots + X_nwhere $x_0$ is the initial starting point of ...

Welcome to my blog. Here we will have some interesting posts on a variety of topics, while most of them are going to relate themselves with Mathematics and Computer Science. Anyway, welcome and have fun! :)