So then I made a drawing.

He looked at it carefully, then he said:No. This sheep is already very sickly. Make me another.

My friend smiled gently and indulgently. You see yourself, he said, that this is not a sheep. This is a ram. It has horns. So then I did my drawing over once more.

But it was rejected too, just like the others. This one is too old. I want a sheep that will live a long time. By this time my patience was exhausted, because I was in a hurry to start taking my engine apart. So I tossed off this drawing.

And I threw out an explanation with it. This is only his box. The sheep you asked for is inside.
 
stop to smell

    Anca Rădulescu 
    Department of Mathematics 
    University of Colorado at Boulder 
     office: MATH 325 
     office phone number: (303) 492-7716 
     email: radulesc at colorado dot edu

and remember

Research interests and publications

Real Dynamics

I am interested in how the dynamic complexity of a system evolves under deformations. This evolution is in general only partly understood. Following classical methods, I approach simple examples of dynamical systems from a quantitative perspective and I make use of the topological entropy as a particularly useful complexity measure.

Neural models of synaptic learning

(with Paul Adams , Neuroscience Department, Stony Brook University)

Recent work on Long Term Potentiation in brain slices shows that Hebb's rule is not completely synapse-specific, possibly due to intersynapse calcium diffusion. We extend the classical Oja unsupervised learning model of a single linear neuron to include Hebbian infidelity, by introducing an error matrix which expresses the crosstalk between Hebbian updating at different connections.

Clinical neuroscience

(with the Laboratory for the Study of Emotion and Cognition, Stony Brook University Hospital)

My research targets in particular schizophrenia and attention deficit hyperactivity disorder (ADHD). Both are surprisingly widespread illnesses, with complex symptoms and mysterious causes, with dramatic impact on both individual and society. I am workig on developing a rigorous mathematical tool-box for the study of the dynamics and complexity of the two conditions.


Teaching

Fall 2012: MATH 2400 - Calculus III

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