Mathematics for transport decisions you can trust.
We are a research laboratory at the Faculty of Transportation Sciences, CTU in Prague. We develop and validate the models behind traffic control, digital twins, travel behaviour and public transport — and we do it together with our students.
Three ways to work with us
Students of FTS CTU
Theses, projects and a PhD on real transport problems — with real data and a team behind you.
What we offer students →Cities, operators and industry
Know the impact of a measure before you build it: traffic models, digital twins and independent evaluation.
How we cooperate →Research partners
A reliable partner for Horizon Europe, CCAM, Europe’s Rail and bilateral projects. We also host visiting researchers.
Collaboration opportunities →The laboratory is open to you
You do not need to be a mathematician. You need curiosity and a transport problem you want to understand.
- A bachelor or master thesis on a real problem, with real data — including municipal traffic data most theses never get near.
- A place in a research team: take part in national and EU projects while you study.
- Tools used in practice: Python, statistics, SUMO, MATSim and other simulation tools.
- A path to a PhD, supervised by the team.
How to start
- Look at the research pillars and pick what interests you.
- Write to us, or stop by room F311, Na Florenci 25.
- We agree on a topic together.
A competence centre, not a black box
Transport problems need mathematics, yet it is often applied as a black box. LAMbDΛ was founded to change that: we build long-term know-how in modelling, keep it in the laboratory rather than in one person’s head, and combine the experience of senior researchers with the energy of students.
Prof. Ondřej Přibyl
Head of laboratory
Five pillars on one mathematical core
Each pillar is a research field with its own questions, projects and publications — all built on one shared mathematical core.
Cooperative Traffic Management and CCAM
Uncoordinated automation makes intersections worse, not better. We measured what coordination is worth in the field, and we are moving control from tuned rules to negotiation between vehicles and infrastructure.
Explore Pillar 2Transport Digital Twins
The hard part is not building the twin. It is knowing when to stop trusting it. A working Prague corridor twin, a ministry-endorsed methodology, and drift treated as an information channel rather than an error to be re-fitted away.
Explore Pillar 3Travel Behaviour and Mode Choice
Policy is written for people who are paying attention. Most travellers are on autopilot. Our own multi-country data, and choice models that represent when deliberation switches on at all.
Explore Pillar 4Demand Modelling and Synthetic Populations
An aggregated model reproduces flows but cannot say why. We build the population and its daily activities from the ground up, so a policy nobody has tried can still be tested.
Explore Pillar 5Public Transport Quality and Service Design
Every optimisation assumes the operating paradigm was already chosen. We put that choice — fixed, hybrid or on demand — and the quality it delivers back into the mathematics.
Explore FoundationThe methodological core
Six competence groups shared by every pillar: mathematical modelling, soft computing and AI, statistics, operations research, traffic simulation, and impact assessment.
What we can do →Student or partner — start with an email.
Tell us what problem you are working on. We will tell you straight whether and how we can help.