So, last time we went over all the vowels in the Bengali script. We covered a handful of consonants along the way, but now we’re heading into the thick of it, and going through the first major round of consonant sounds. I didn’t highlight it last time, but the characters in the Bangla script haveContinue reading “Bangla Script Demystified: Consonants, First Look”
Author Archives: chatterjeeryan
Bengali Script Demystified: Vowels
I’ve spent the last two semesters learning the Bengali language, known natively as Bangla. This East Indian and Bangladeshi language is the second most-spoken in the Indian subcontinent (after Hindi/Urdu and its dialects), and the fifth most-spoken in the whole word, by number of native speakers. Bengalis are also the third largest ethnic group inContinue reading “Bengali Script Demystified: Vowels”
What is Entropy? A (measured) Dynamical Perspective
This was written as part of a reading group I organized at my university. These notes are meant to explain probability theory, Shannon entropy, and measured dynamical entropy, with one application. My sources are Kerr and Li’s Ergodic Theory and Claude Shannon’s paper A Mathematical Theory of Communication.
Rotation Numbers and the Poincare Classification
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are meant to explain rotation numbers of circle homeomorphisms, and some general dynamical concepts like factor maps and homoclinicity. Denjoy’s theorem is also discussed.
Rotations of the Circle: Dynamical Properties
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are meant to explain the properties of minimality and topological transitivity.
Classifying 2-dimensional Linear Systems
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are meant to explain the phase portraits of 2-dimensional linear differential equations.
Vector Fields, Flows, and the Matrix Exponential
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are meant to explain concepts from Chapter 3.
Basic Hyperbolicity, the Differential, and Contraction Mapping Theorem
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are meant to explain concepts from Chapter 2.
Topology Crash Course Part 2
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are part of a series meant to provide the participants the necessary topological background.
Topology Crash Course, Part 1
This was written as part of a reading group I organized at my university. The text we are using is Katok and Hasselblatt’s First Course in Dynamics. These notes are part of a series meant to provide the participants the necessary topological background.
Elomelo 