blue flame This little image is a closeup of the top of one of the Arnold Tongues (phase locked regions occurring at frequencies that are Farey numbers), specifically, the one that appears on the iterated circle map. There are many more pictures in my Art Gallery.


Important Notice: EMAIL

Due to the fact that I have been receiving several hundred megabytes of spam a day (yes, that's right, tens of thousands of mail messages daily),

I no longer accept email at linas@linas.org

Sorry. If the message is important or urgent, and you feel compelled to use electronic communications, then you may post a brief message at my Wikipedia talk page. Otherwise, give me a call over the telephone. No sales calls or soliciting, please.


The Home Page of Linas VEPSTAS

Welcome to my home page! There's a lot of stuff here, some quite good, and some thoroughly awful, some brand new and some hopelessly dated. Please be sure to enjoy yourself while you visit and prowl around!

Who am I?

I am a scientist, technologist and erstwhile entrepreneur, with broad interests in mathematics, physics and computer technology.

Currently, I am employed by Novamente, engaged in R&D work in natural language processing and artificial general intelligence. A smattering of related open-source agi work is listed here.

I've spent many years at IBM; most recently working on the Linux kernel for PowerPC-based mainframes. The Linux on the PowerPC wiki is a good place to find out more about IBM Linux mainframes and systems. I've been active in the Linux community; I was a founder of the Gnome Foundation; and was the lead developer for GnuCash for over 7 years. I've founded three dot-com startups, all of which failed to enrich me financially. I was a founding member of the OpenGL Architecture Review Board; and spent 8 years learning about and designing 3D graphics hardware and software. I have a PhD in theoretical physics from SUNY at Stony Brook. Currently, I am utterly infatuated with mathematics, and have made large contributions to over 300 math articles in Wikipedia. BTW, y'all, global warming is for real. Do something about it.


American Political Unreality, 2008

I've always felt detached from the political scene. I just figured out why: politics is unreal, and politicians are from outer space.

Stop Illegal Spying
Linas' Mathematical Art Gallery
A colorful exploration of some well-known, but under-examined equations. I think some of this is high Art, and much of the rest of it should be an eye-opener for even jaded fractal mathematicians.

The Art Gallery has been running for fifteen or twenty years while being silent about the underlying math. I suppose its high time to make amends. The core idea of the dissertation is that the shapes of fractals are describable through Farey Fractions, which appear naturally through continued fractions, which have the symmetry of the Modular Group SL(2,Z), which is inter-twined with the Riemann Zeta and the structure of the set of rational numbers. Besides the four basic operations on the real numbers (addition, subtraction, multiplication, division), there is a fifth basic operation which is rarely taught in primary school and under-appreciated at higher levels, namely, "Farey Addition" or, expressed correctly, group multiplication in SL(2,Z). The modular group doesn't just lead to Pellian equations and algebraic numbers, it in fact intertwines all rational numbers (and their extensions to reals and p-adics) in crazy, fractal ways. This is why, for example, one sees Farey Fractions in the Mandelbrot Set. In number theory, the structure of the Modular Group provides a unifying theme for understanding the nature of factorization and primality. This is why, for example, power series and Dirichlet series (such as the Riemann Zeta) exhibit such crazy fractal Cantor-Set type patterns. Despite this connection being seen by Weierstrass as early as 1872, its more-or-less entirely ignored in standard textbooks on Analysis and Number Theory. The series of articles below tries to provide some of the underpinnings for the above breathless assertions.

Political, Economic and Social Screeds
Some short essays on emerging economic and political forces.

Linux Enterprise Computing
References, resources and a guide to prominent Free Software systems and technologies, from the corporate computing perspective. Topics include:

Banned!
A collection of outlaw computer technology, harvested from the net. Why would I mirror such dangerous material, and risk a personal threat of lawsuit from corporations or arrest by the FBI, CIA or other government agency? Why, in order to protect my personal freedoms, and in particular, my freedoms of speech. Unfortunately, it seems that certain personal freedoms continue to erode around the edges, suggesting a dangerous social and political trend. Sadly, it seems that anti-terrorism concerns only serve to reinforce the trend.

My Free Software Projects
I've worked on many free software projects, and initiated a few. Below follows a list of these, roughly in chronological order of first involvement. (Whose counting? Orbiten is! So's Ohloh... here)

A Digression on Artificial Life and Cellular Automata
This web page is a very long diary of a set of experiments that were run in the early 90's with a collection of cellular automata. The automata were designed to have a 'genetic code' that was shared between cooperating individuals. By cooperating (or not) individual cells could (and did) self-organize into 'symbiotic' plant-like structures. Lots of interesting stuff was seen. No papers were published. I suppose that if I had churned this into a refereed journal article or two, I'd be more respected than I am. Well, nuts.

Technical Ruminations
Miscellaneous articles about proposed software/hardware technical developments and standards.

Philosophical Ruminations
Sophomoric, half-baked, incoherent, nutty ideas, most of which have probably already been better-expressed in some top-ten selling book. These include, but are not limited to:

My Weblog
This is the output of my new experimental note-taking and publishing and general-diary tool, GnoTime. We'll see how easy, scalable, effective this tool really is. Or, how dis-interested I am in using it ...

The good stuff is in the form of letters:

Employment History, Schooling
References pertaining to the various jobs I've held, and what I did while I worked there. In reverse chronological order. My sort-of current resume is here.

Rainwater Collection Economics in Urban Austin Texas
Is it economical to install a rainwater collection system in urban Austin Texas? This back-of-the-envelope calculation shows that it is, just barely, if you do it cheaply and do it yourself.

Solar Electric Economics in Austin Texas
Is it economical to install a solar-electric photo-voltaic utility tie-in system in Austin Texas? This back-of-the-envelope calculation shows that it isn't, although, with dropping prices, that may finally change in ten or twenty years. Meanwhile, the cost is not so outrageous that you might not want to do it anyway, if you're into that sort of thing.

Web Site Mirrors and More Web Site Mirrors
A random assortment of mirrored web sites. I mirrored these because at some point in time I thought their content was interesting, and they seemed to be at risk of disappearing forever... This is my attempt to archive some of these, for some distant future rainy day.

Vintage Netscape Navigator
Some vintage copies of Netscape Navigator, v1.0n, v1.1 beta 1 and v2.0, for Linux/x86. These are circa 1994-1995. The binaries still run on my machine.

Rowing
2007 Dec 22 Sat, 9AM in the quad, #3 seat, white shirt (from stroke: Kelly, me, Steve W., Charlie). 2008 Jan 26 Sat, 9AM in the quad, stroking. (from stroke: Me, Lowry, Steve W., Charlie), squaring far too late. 2008 April 10 Thu, 7PM in the quad, #3 seat. (from stroke: Marty, me, Lowry, Hans) screwing up the legs-only drill. Stick figure body prep.

Lietuva
Taip, aš kalbu Lietuviškai. Parašykite!

Started in 1995, last updated December 2007
linas@linas.org