BLACK RABBITS LAB
Development of Intelligent Systems
We develop intelligent systems built on AI models, equipping them with domain knowledge, specialized tools, and the ability to act. Each system is developed around the logic of its field—from medicine and ecology to education, logistics, financial markets, and decentralized finance. Our systems are designed to protect your data and privacy. We design products that remain reliable, stable, and behave predictably.
Robust Systems
We create systems that preserve their purpose even when the conditions around them move beyond the range for which they were designed. By minimizing dependencies and using adaptable designs, our systems dynamically adjust to changing environments.
Transparent Privacy
Transparency should apply to the system—not to the person. We design products whose logic, data flows, and security boundaries can be understood and audited, while personal information remains private and under the user’s control. Medical records, financial data, correspondence, and everyday personal context are isolated and protected, whether stored locally or processed within a secure environment.
PRODUCTS
Intelligent systems built around domain knowledge, mathematical models, and modern AI. Each product is designed to organize complex information, identify what matters, and support practical action while keeping the user’s data protected.
Olga Go
A personal intelligent assistant for correspondence, documents, tasks, schedules, and the organization of everyday work. Olga Go prepares briefings, helps draft communications, coordinates plans, and supports personal and professional logistics.
Dr. Standalone
A private desktop application for maintaining a personal medical history, daily observations, health measurements, documents, and images. The patient’s data remains on their own computer, while a secure server-side intelligence layer helps analyze the information and formulate personalized health recommendations.
Sophia
An intelligent system for students that transforms unstructured assignments into clear plans, stages, deadlines, and calendar events. Sophia organizes source materials and supports the academic writing process, from coursework and essays to advanced research.
We develop privacy-oriented systems based on zero-knowledge technologies. Our objective is to make verification possible without unnecessary disclosure of identities, transactions, or private data.
Crypto Tracer
Crypto Tracer demonstrates how transactions associated with a known public address can be reconstructed and examined. It illustrates why privacy cannot be assumed in conventional public blockchains—and why zero-knowledge technologies matter.
For a quick visualization, use the sample address below—or any other address you want to explore. Copy it, open Crypto Tracer, and paste it into the address field.
We develop mathematical methods and intelligent systems for detecting early signs of instability in complex dynamical systems. The same underlying approach may be applied across financial markets, medicine, ecology, and other domains.
We develop methods for restoring and maintaining stability under changing conditions, incomplete information, noise, and disturbances not fully represented in the original model. Our approach is intended for engineered, biological, and ecological systems.
UNCERTAIN WORLD: BLACK SWANS, DRAGON-KINGS & BLACK RABBITS
“In an environment where shocks can change direction so quickly, it would not be wise to anchor our decisions too firmly…”
Before the laboratory was founded, members of our group worked on discrete dynamical systems, identifying early signs of instability and developing effective methods of robust stabilization.
The idea that extreme events can radically change the world is not new. Nassim Nicholas Taleb described a Black Swan as a rare event with an extreme impact that appears explicable only after it has occurred. From the perspective of an observer looking forward, such an event lies outside the realm of reliable prediction.[1]
Didier Sornette and his co-authors developed a different perspective through the concept of Dragon-Kings. Unlike ordinary extreme events belonging to the tail of the same statistical distribution, Dragon-Kings are meaningful outliers generated by distinct internal mechanisms. Such mechanisms may include positive feedback, collective synchronization, phase transitions, and bifurcations. When their development produces identifiable precursors, the approaching extreme event may be diagnosed—and in some cases predicted—before it occurs.[2]
Black Rabbits represent a slightly different phenomenon. They exhibit the external characteristics of a Black Swan, yet they are entirely determined by the initial state and internal dynamics of the system itself. No external shock or change in the system’s parameters is required. Even a simple linear system may appear to stabilize before suddenly entering explosive growth, collapse, or another form of instability. In this sense, the system is pregnant with crisis from the very beginning.[3]
The following demonstration shows this phenomenon in one of the simplest linear dynamical systems and compares it with the observed behaviour of a real financial market.
REFERENCES
- Nassim Nicholas Taleb, The Black Swan: The Impact of the Highly Improbable. New York: Random House, 2007.
- Didier Sornette, “Dragon-Kings, Black Swans and the Prediction of Crises”. International Journal of Terraspace Science and Engineering, 2(1), 1–18, 2009.
- Alexey Solyanik, The Black Rabbits of Fibonacci. arXiv:2412.20222, 2024.
BLACK RABBITS: DEMONSTRATION
The first chart shows the dynamics of a simple discrete dynamical system in which each value is equal to the sum of the two preceding values. The construction follows the famous Fibonacci sequence, but instead of starting with two ones, we choose the initial values 1 and −0.618033.
At first, the system stabilizes and approaches zero. Then it enters a stable regime. Suddenly, it begins to exhibit explosive exponential growth.
The second chart shows the actual exchange rate of Zcash against the euro in August 2026.
The first example shows that even the simplest linear systems in a phase space of sufficiently high dimensionality—in this case, two—can exhibit unpredictable and unstable behavior. Figuratively speaking, the system was pregnant with a crisis from the very beginning.
The intelligent systems developed by our laboratory can identify and classify points that signal an approaching crisis. Because these systems are based on mathematical models, they can be applied not only to finance and financial markets, but also to medicine, ecology, and many other domains.
In engineered systems, our algorithms can provide robust, non-invasive stabilization; in biological systems, they can help maintain or restore homeostasis; and in ecological systems, they can support ecosystem stability and resilience.
GET IN TOUCH
If you are interested in collaboration, academic research, product development, or consulting in intelligent systems, robust stabilization, zero-knowledge technologies, cryptocurrency, or crypto taxation, feel free to reach out.